456712 has 8 divisors (see below), whose sum is σ = 856350. Its totient is φ = 228352.

The previous prime is 456697. The next prime is 456727. The reversal of 456712 is 217654.

It is an interprime number because it is at equal distance from previous prime (456697) and next prime (456727).

It can be written as a sum of positive squares in only one way, i.e., 401956 + 54756 = 634^2 + 234^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28537 + ... + 28552.

2⁴⁵⁶⁷¹² is an apocalyptic number.

It is an amenable number.

456712 is a deficient number, since it is larger than the sum of its proper divisors (399638).

456712 is a wasteful number, since it uses less digits than its factorization.

456712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57095 (or 57091 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 456712 is about 675.8047055178. The cubic root of 456712 is about 77.0100622146.

The spelling of 456712 in words is "four hundred fifty-six thousand, seven hundred twelve".