456556 has 12 divisors (see below), whose sum is σ = 805168. Its totient is φ = 226512.

The previous prime is 456553. The next prime is 456557. The reversal of 456556 is 655654.

It is a super-2 number, since 2×456556² = 416886762272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (456553) by changing a digit.

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, 265 + ... + 991.

2⁴⁵⁶⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

456556 is a deficient number, since it is larger than the sum of its proper divisors (348612).

456556 is a wasteful number, since it uses less digits than its factorization.

456556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its digits is 18000, while the sum is 31.

The square root of 456556 is about 675.6892777009. The cubic root of 456556 is about 77.0012930575.

The spelling of 456556 in words is "four hundred fifty-six thousand, five hundred fifty-six".