456056 has 16 divisors (see below), whose sum is σ = 864600. Its totient is φ = 225504.

The previous prime is 456047. The next prime is 456061. The reversal of 456056 is 650654.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456056.

It is an unprimeable number.

456056 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 in 3 ways as a sum of consecutive naturals, for example, 611 + ... + 1133.

2⁴⁵⁶⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

456056 is a deficient number, since it is larger than the sum of its proper divisors (408544).

456056 is a wasteful number, since it uses less digits than its factorization.

456056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 456056 is about 675.3191837939. The cubic root of 456056 is about 76.9731733162.

The spelling of 456056 in words is "four hundred fifty-six thousand, fifty-six".