456664 has 16 divisors (see below), whose sum is σ = 922320. Its totient is φ = 210720.

The previous prime is 456653. The next prime is 456679. The reversal of 456664 is 466654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2092 + ... + 2299.

It is an arithmetic number, because the mean of its divisors is an integer number (57645).

2⁴⁵⁶⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

456664 is an abundant number, since it is smaller than the sum of its proper divisors (465656).

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

456664 is a wasteful number, since it uses less digits than its factorization.

456664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4406 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 456664 is about 675.7691913664. The cubic root of 456664 is about 77.0073642251.

The spelling of 456664 in words is "four hundred fifty-six thousand, six hundred sixty-four".