315088332 has 72 divisors (see below), whose sum is σ = 800573760. Its totient is φ = 96408000.

The previous prime is 315088327. The next prime is 315088349. The reversal of 315088332 is 233880513.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 315088293 and 315088302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508719 + ... + 509337.

It is an arithmetic number, because the mean of its divisors is an integer number (11119080).

Almost surely, 2^315088332 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 315088332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400286880).

315088332 is an abundant number, since it is smaller than the sum of its proper divisors (485485428).

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

315088332 is a wasteful number, since it uses less digits than its factorization.

315088332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 315088332 is about 17750.7276470572. The cubic root of 315088332 is about 680.4728055524.

The spelling of 315088332 in words is "three hundred fifteen million, eighty-eight thousand, three hundred thirty-two".