456372 has 36 divisors (see below), whose sum is σ = 1319136. Its totient is φ = 130320.

The previous prime is 456367. The next prime is 456377. The reversal of 456372 is 273654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456367) and next prime (456377).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456377) by changing a digit.

456372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654 + ... + 1157.

2⁴⁵⁶³⁷² is an apocalyptic number.

456372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456372 is an abundant number, since it is smaller than the sum of its proper divisors (862764).

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

456372 is a wasteful number, since it uses less digits than its factorization.

456372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1823 counting only the distinct ones).

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

The square root of 456372 is about 675.5531067207. The cubic root of 456372 is about 76.9909473813.

It can be divided in two parts, 456 and 372, that added together give a palindrome (828).

The spelling of 456372 in words is "four hundred fifty-six thousand, three hundred seventy-two".