456732 has 24 divisors (see below), whose sum is σ = 1184400. Its totient is φ = 152208.

The previous prime is 456727. The next prime is 456737. The reversal of 456732 is 237654.

It is a happy number.

456732 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (456727) and next prime (456737).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 456696 and 456705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456737) 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, 2007 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (49350).

2⁴⁵⁶⁷³² is an apocalyptic number.

It is an amenable number.

456732 is an abundant number, since it is smaller than the sum of its proper divisors (727668).

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

456732 is a wasteful number, since it uses less digits than its factorization.

456732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4234 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 456732 is about 675.8195025301. The cubic root of 456732 is about 77.0111863211.

The spelling of 456732 in words is "four hundred fifty-six thousand, seven hundred thirty-two".