456864 has 24 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 152256.

The previous prime is 456821. The next prime is 456871. The reversal of 456864 is 468654.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 2284 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (49980).

2⁴⁵⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

456864 is an abundant number, since it is smaller than the sum of its proper divisors (742656).

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

456864 is a wasteful number, since it uses less digits than its factorization.

456864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4764 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 456864 is about 675.9171546869. The cubic root of 456864 is about 77.0186046010.

The spelling of 456864 in words is "four hundred fifty-six thousand, eight hundred sixty-four".