456972 has 24 divisors (see below), whose sum is σ = 1078896. Its totient is φ = 150528.

The previous prime is 456959. The next prime is 456979. The reversal of 456972 is 279654.

It is not an unprimeable number, because it can be changed into a prime (456979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1188 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (44954).

456972 is a Friedman number, since it can be written as (7*5-9)^(6-2)-4, using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

456972 is an abundant number, since it is smaller than the sum of its proper divisors (621924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456972 is a wasteful number, since it uses less digits than its factorization.

456972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 456972 is about 675.9970414136. The cubic root of 456972 is about 77.0246730400.

The spelling of 456972 in words is "four hundred fifty-six thousand, nine hundred seventy-two".