400 (number)

From Academic Kids

Four hundred is the natural number following three hundred ninety-nine and preceding four hundred one.

List of numbersIntegers

<< 0 100 200 300 400 500 600 700 800 900 >>

CardinalFour hundred
Ordinal400th
Factorization<math>2^4 \cdot 5^2<math>
Roman numeralCD
Binary110010000
Hexadecimal190
Hebrewת (Tav)

Mathematical properties

400 is the square of 20.

A circle is divided into 400 gradians, which is equal to 360 degrees and 2π radians. (Degrees and radians are the preferred units).

400 is a self number in base 10, since there is no integer that added to the sum of its own digits results in 400. On the other hand, 400 is divisible by the sum of its own base 10 digits, making it a Harshad number.

Other fields

Four hundred is also

  • a common ISO-standard film speed for photographic films.
  • an HTTP status code for a bad request.
  • a phrase meaning the wealthiest, most famous, or most powerful social group, leading to the generation of such lists as the Forbes 400
  • in the title of the film Les Quatre Cent Coups (The 400 Blows), a French film directed by François Truffaut.

For the year 400 AD, see 400.

See also: three hundred, five hundred


401 prime number, tetranacci number, sum of seven consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71), sum of nine consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0. Also, area code for Rhode Island, also HTTP status code for an unauthorized request, also in the name of a retirement plan, 401(k)


402 = 2 × 3 × 67, sphenic number, nontotient, Harshad number, also HTTP status code for payment required


403 = 13 × 31, Mertens function returns 0. Also, HTTP status code for forbidden, also in the name of a retirement plan, 403(b)


404 = 22 × 101, Mertens function returns 0, nontotient, noncototient. Also, HTTP status code for file not found, perhaps the most famous HTTP status code of all time.


405 = 34 × 5, Mertens function returns 0, Harshad number, HTTP error code for Method not allowed


406 = 2 × 7 × 29, sphenic number, triangular number, centered nonagonal number, nontotient, untouchable number, also area code for Montana, HTTP error code for Not acceptable


407 = 11 × 37, sum of three consecutive primes (131 + 137 + 139), Mertens function returns 0, Harshad number, HTTP error code for Proxy authentication required


408 = 23 × 3 × 17

  • sum of four consecutive primes (97 + 101 + 103 + 107)
  • sum of eight consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67)
  • Mertens function returns 0,
  • octagonal number
  • untouchable number
  • Harshad number
  • HTTP error code for Request timeout

409 is a prime number, centered triangular number.


410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes (59 + 61 + 67 + 71 + 73 + 79), nontotient, Harshad number, HTTP error code for Gone


411 = 3 × 137, self number, HTTP error code for Length required


412 = 22 × 103, nontotient, noncototient, HTTP error code for recondition failed


413 = 7 × 59, Mertens function returns 0, self number, HTTP error code for Request entity too large


414 = 2 × 32 × 23, Mertens function returns 0, nontotient, Harshad number, HTTP error code for Request URI too long


415 = 5 × 83, it is also the area code for San Francisco, California, HTTP error code for Unsupported media type


416 = 25 × 13, HTTP error code for Requested Range not satisfiable


417 = 3 × 139, HTTP error code for Expectation failed


418 = 2 × 11 × 19, sphenic number, also area code for Quebec


419 prime number, Sophie Germain prime, highly cototient number, Mertens function returns 0


420 has its own page


421 prime number, sum of five consecutive primes (73 + 79 + 83 + 89 + 97), centered square number, also SMTP code meaning the transmission channel will be closing


422 = 2 × 211, Mertens function returns 0, nontotient


423 = 32 × 47, Mertens function returns 0, Harshad number


424 = 23 × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0, self number


425 = 52 × 17, sum of three consecutive primes (137 + 139 + 149), Mertens function returns 0


426 = 2 × 3 × 71, sphenic number, nontotient, untouchable number


427 = 7 × 61, Mertens function returns 0


428 = 22 × 107, Mertens function returns 0, nontotient


429 = 3 × 11 × 13, sphenic number, Catalan number


430 = 2 × 5 × 43, sphenic number, untouchable number


431 prime number, Sophie Germain prime, sum of seven consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73)


432 sum of four consecutive primes (103 + 107 + 109 + 113), a highly totient number, and a Harshad number.


433 prime number, star number. The perfect score in the game show Fifteen To One, only ever achieved once in over 2000 shows.


434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83)nontotient


435 = 3 × 5 × 29, sphenic number, triangular number, hexagonal number, self number


436 = 22 × 109, nontotient, noncototient


437 = 19 × 23


438 = 2 × 3 × 73, sphenic number, Smith number


439 prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), strictly non-palindromic number


440 = 23 × 5 × 11, the sum of the first seventeen prime numbers, Harshad number, also, in hertz, the standard frequency to which most orchestras tune the pitch A above middle C. A few orchestras tune slightly flatter or sharper than this.


441 = 32 × 72 = 212, sum of the cubes of the first natural numbers, centered octagonal number, Harshad number


442 = 2 × 13 × 17, sphenic number, sum of eight consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71)


443 prime number, Sophie Germain prime, Mertens function sets new low of -9, which stands until 659


444 = 22 × 3 × 37, Harshad number


445 = 5 × 89


446 = 2 × 223, nontotient, self number


447 = 3 × 149


448 = 26 × 7, untouchable number, Harshad number


449 prime number, sum of five consecutive primes (79 + 83 + 89 + 97 + 101)


450 = 2 × 32 × 52, nontotient, Harshad number, also SMTP code meaning the requested mail action was not carried out


451 Wedderburn-Etherington number; centered decagonal number; its reciprocal has period 10; 451 is the smallest number with this period reciprocal length.


452 = 22 × 113, also SMTP code meaning that the requested mail action was not carried out because of insufficient system storage


453 = 3 × 151


454 = 2 × 227, nontotient, Smith number


455 = 5 × 7 × 13, sphenic number, tetrahedral number


456 = 23 × 3 × 19, sum of a twin prime (227 + 229), sum of four consecutive primes (107 + 109 + 113 + 127), centered pentagonal number


457 prime number, sum of three consecutive primes (149 + 151 + 157), self number


458 = 2 × 229, nontotient


459 = 33 × 17


460 = 22 × 5 × 23, centered triangular number, Harshad number


461 prime number


462 = 2 × 3 × 7 × 11, sum of six consecutive primes (67 + 71 + 73 + 79 + 83 + 89), pronic number


463 prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79), centered heptagonal number


464 = 24 × 29

See also: 4-6-4, the year AD 464.


465 = 3 × 5 × 31, sphenic number, triangular number, Harshad number


466 = 2 × 233, noncototient


467 prime number, safe prime


468 = 22 × 32 × 13, sum of ten consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), self number, Harshad number


469 = 7 × 67, centered hexagonal number


470 = 2 × 5 × 47, sphenic number, nontotient, noncototient


471 = 3 × 157, sum of three consecutive primes (151 + 157 + 163)


472 = 23 × 59, nontotient, untouchable number


473 = 11 × 43, sum of five consecutive primes (83 + 89 + 97 + 101 + 103)


474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73), nontotient, noncototient, untouchable number, nonagonal number


475 is a 49-gonal number; see also, Interstate 475


476 = 22 × 7 × 17, Harshad number


477 = 32 × 53


478 = 2 × 239


479 prime number, safe prime, sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), self number


480 = 25 × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number, Harshad number


481 = 13 × 37, octagonal number, centered square number, Harshad number


482 = 2 × 241, nontotient, noncototient


483 = 3 × 7 × 23, sphenic number, Smith number


484 = 22 × 112 = 222, nontotient


485 = 5 × 97


486 = 2 × 35, Harshad number, also shorthand for the Intel 80486 microprocessor chip


487 prime number, sum of three consecutive primes (157 + 163 + 167)


488 = 23 × 61, nontotient


489 = 3 × 163, octahedral number


490 = 2 × 5 × 72, noncototient, self number


491 prime number, Sophie Germain prime, strictly non-palindromic number


492 = 22 × 3 × 41, sum of six consecutive primes (71 + 73 + 79 + 83 + 89 + 97)


493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83)


494 = 2 × 13 × 19, sphenic number, nontotient


495 = 32 × 5 × 11, pentatope number


496 now has its own article.


497 = 7 × 71, sum of five consecutive primes (89 + 97 + 101 + 103 + 107)


498 = 2 × 3 × 83, sphenic number, untouchable number


499 prime numberko:400

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