456264 has 24 divisors (see below), whose sum is σ = 1235910. Its totient is φ = 152064.

The previous prime is 456241. The next prime is 456283. The reversal of 456264 is 462654.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 44100 = 642^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3097 + ... + 3240.

2⁴⁵⁶²⁶⁴ is an apocalyptic number.

It is an amenable number.

456264 is an abundant number, since it is smaller than the sum of its proper divisors (779646).

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

456264 is a wasteful number, since it uses less digits than its factorization.

456264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6342 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 456264 is about 675.4731674908. The cubic root of 456264 is about 76.9848736239.

The spelling of 456264 in words is "four hundred fifty-six thousand, two hundred sixty-four".