456632 has 16 divisors (see below), whose sum is σ = 934200. Its totient is φ = 207520.

The previous prime is 456623. The next prime is 456641. The reversal of 456632 is 236654.

It is an interprime number because it is at equal distance from previous prime (456623) and next prime (456641).

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, 2507 + ... + 2682.

2⁴⁵⁶⁶³² is an apocalyptic number.

It is an amenable number.

456632 is an abundant number, since it is smaller than the sum of its proper divisors (477568).

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

456632 is a wasteful number, since it uses less digits than its factorization.

456632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5202 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 456632 is about 675.7455142285. The cubic root of 456632 is about 77.0055654604.

The spelling of 456632 in words is "four hundred fifty-six thousand, six hundred thirty-two".