456752 has 10 divisors (see below), whose sum is σ = 884988. Its totient is φ = 228368.

The previous prime is 456737. The next prime is 456763. The reversal of 456752 is 257654.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456752.

It is an unprimeable number.

456752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14258 + ... + 14289.

2⁴⁵⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

456752 is a deficient number, since it is larger than the sum of its proper divisors (428236).

456752 is a wasteful number, since it uses less digits than its factorization.

456752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28555 (or 28549 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 456752 is about 675.8342992184. The cubic root of 456752 is about 77.0123103947.

The spelling of 456752 in words is "four hundred fifty-six thousand, seven hundred fifty-two".