456856 has 8 divisors (see below), whose sum is σ = 856620. Its totient is φ = 228424.

The previous prime is 456821. The next prime is 456871. The reversal of 456856 is 658654.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28546 + ... + 28561.

2⁴⁵⁶⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

456856 is a deficient number, since it is larger than the sum of its proper divisors (399764).

456856 is a wasteful number, since it uses less digits than its factorization.

456856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57113 (or 57109 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 456856 is about 675.9112367760. The cubic root of 456856 is about 77.0181550489.

It can be divided in two parts, 4568 and 56, that added together give a square (4624 = 68²).

The spelling of 456856 in words is "four hundred fifty-six thousand, eight hundred fifty-six".