456792 has 32 divisors (see below), whose sum is σ = 1305600. Its totient is φ = 130464.

The previous prime is 456791. The next prime is 456809. The reversal of 456792 is 297654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456791) 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, 1192 + ... + 1527.

It is an arithmetic number, because the mean of its divisors is an integer number (40800).

2⁴⁵⁶⁷⁹² is an apocalyptic number.

456792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456792 is an abundant number, since it is smaller than the sum of its proper divisors (848808).

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

456792 is a wasteful number, since it uses less digits than its factorization.

456792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2731 counting only the distinct ones).

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

The square root of 456792 is about 675.8638916232. The cubic root of 456792 is about 77.0145584436.

The spelling of 456792 in words is "four hundred fifty-six thousand, seven hundred ninety-two".