463372 has 48 divisors (see below), whose sum is σ = 1066240. Its totient is φ = 171072.

The previous prime is 463363. The next prime is 463387. The reversal of 463372 is 273364.

It is a super-2 number, since 2×463372² = 429427220768, which contains 22 as substring.

Its product of digits (3024) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6883 + ... + 6949.

2⁴⁶³³⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533120).

463372 is an abundant number, since it is smaller than the sum of its proper divisors (602868).

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

463372 is a wasteful number, since it uses less digits than its factorization.

463372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 3024, while the sum is 25.

The square root of 463372 is about 680.7143306851. The cubic root of 463372 is about 77.3825901680.

The spelling of 463372 in words is "four hundred sixty-three thousand, three hundred seventy-two".