456956904 has 32 divisors (see below), whose sum is σ = 1142982720. Its totient is φ = 152240256.

The previous prime is 456956891. The next prime is 456956921. The reversal of 456956904 is 409659654.

It is a super-2 number, since 2×456956904² = 417619224226530432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59932 + ... + 67124.

It is an arithmetic number, because the mean of its divisors is an integer number (35718210).

Almost surely, 2^456956904 is an apocalyptic number.

It is an amenable number.

456956904 is an abundant number, since it is smaller than the sum of its proper divisors (686025816).

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

456956904 is a wasteful number, since it uses less digits than its factorization.

456956904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 456956904 is about 21376.5503297422. The cubic root of 456956904 is about 770.2382486452.

The spelling of 456956904 in words is "four hundred fifty-six million, nine hundred fifty-six thousand, nine hundred four".