462532960 has 96 divisors (see below), whose sum is σ = 1156952160. Its totient is φ = 174256128.

The previous prime is 462532943. The next prime is 462532999. The reversal of 462532960 is 69235264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707994 + ... + 708646.

It is an arithmetic number, because the mean of its divisors is an integer number (12051585).

Almost surely, 2^462532960 is an apocalyptic number.

462532960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578476080).

462532960 is an abundant number, since it is smaller than the sum of its proper divisors (694419200).

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

462532960 is a wasteful number, since it uses less digits than its factorization.

462532960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 462532960 is about 21506.5794583890. The cubic root of 462532960 is about 773.3585571109.

The spelling of 462532960 in words is "four hundred sixty-two million, five hundred thirty-two thousand, nine hundred sixty".