315459872 has 96 divisors (see below), whose sum is σ = 771305472. Its totient is φ = 123669504.

The previous prime is 315459847. The next prime is 315459889. The reversal of 315459872 is 278954513.

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 15 ways as a sum of consecutive naturals, for example, 369398 + ... + 370250.

It is an arithmetic number, because the mean of its divisors is an integer number (8034432).

Almost surely, 2^315459872 is an apocalyptic number.

315459872 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 315459872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385652736).

315459872 is an abundant number, since it is smaller than the sum of its proper divisors (455845600).

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

315459872 is a wasteful number, since it uses less digits than its factorization.

315459872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1002 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 315459872 is about 17761.1900502190. The cubic root of 315459872 is about 680.7401629171.

The spelling of 315459872 in words is "three hundred fifteen million, four hundred fifty-nine thousand, eight hundred seventy-two".