456638 has 24 divisors (see below), whose sum is σ = 852048. Its totient is φ = 179712.

The previous prime is 456623. The next prime is 456641. The reversal of 456638 is 836654.

456638 = 67² + 68² + ... + 118².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2270 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (35502).

2⁴⁵⁶⁶³⁸ is an apocalyptic number.

456638 is a deficient number, since it is larger than the sum of its proper divisors (395410).

456638 is a wasteful number, since it uses less digits than its factorization.

456638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 456638 is about 675.7499537551. The cubic root of 456638 is about 77.0059027352.

The spelling of 456638 in words is "four hundred fifty-six thousand, six hundred thirty-eight".