462513152 has 66 divisors (see below), whose sum is σ = 985004118. Its totient is φ = 216317952.

The previous prime is 462513133. The next prime is 462513173. The reversal of 462513152 is 251315264.

It can be written as a sum of positive squares in only one way, i.e., 435306496 + 27206656 = 20864^2 + 5216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2837423 + ... + 2837585.

Almost surely, 2^462513152 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 462513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492502059).

462513152 is an abundant number, since it is smaller than the sum of its proper divisors (522490966).

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

462513152 is an equidigital number, since it uses as much as digits as its factorization.

462513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 182 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 462513152 is about 21506.1189432217. The cubic root of 462513152 is about 773.3475172455.

The spelling of 462513152 in words is "four hundred sixty-two million, five hundred thirteen thousand, one hundred fifty-two".