455976 has 32 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 151920.

The previous prime is 455969. The next prime is 455977. The reversal of 455976 is 679554.

455976 = T₆₃ + T₆₄ + ... + T₁₄₃.

It is a super-2 number, since 2×455976² = 415828225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 455976.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455976.

It is not an unprimeable number, because it can be changed into a prime (455977) by changing a digit.

455976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2⁴⁵⁵⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

455976 is an abundant number, since it is smaller than the sum of its proper divisors (811224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455976 is a wasteful number, since it uses less digits than its factorization.

455976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2116 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 455976 is about 675.2599499452. The cubic root of 455976 is about 76.9686722506.

It can be divided in two parts, 455 and 976, that added together give a triangular number (1431 = T₅₃).

The spelling of 455976 in words is "four hundred fifty-five thousand, nine hundred seventy-six".