315174272 has 96 divisors (see below), whose sum is σ = 754424640. Its totient is φ = 130636800.

The previous prime is 315174269. The next prime is 315174281. The reversal of 315174272 is 272471513.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (11760) is a multiple of the sum of its prime factors (1680).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193622 + ... + 195242.

It is an arithmetic number, because the mean of its divisors is an integer number (7858590).

Almost surely, 2^315174272 is an apocalyptic number.

315174272 is a gapful number since it is divisible by the number (32) 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 315174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377212320).

315174272 is an abundant number, since it is smaller than the sum of its proper divisors (439250368).

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

315174272 is a wasteful number, since it uses less digits than its factorization.

315174272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1661 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 315174272 is about 17753.1482278496. The cubic root of 315174272 is about 680.5346660013.

The spelling of 315174272 in words is "three hundred fifteen million, one hundred seventy-four thousand, two hundred seventy-two".