315417312 has 288 divisors, whose sum is σ = 1090252800. Its totient is φ = 86365440.

The previous prime is 315417301. The next prime is 315417317. The reversal of 315417312 is 213714513.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315417317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3062253 + ... + 3062355.

It is an arithmetic number, because the mean of its divisors is an integer number (3785600).

Almost surely, 2^315417312 is an apocalyptic number.

315417312 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 315417312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545126400).

315417312 is an abundant number, since it is smaller than the sum of its proper divisors (774835488).

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

315417312 is a wasteful number, since it uses less digits than its factorization.

315417312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 315417312 is about 17759.9918918900. The cubic root of 315417312 is about 680.7095477138.

The spelling of 315417312 in words is "three hundred fifteen million, four hundred seventeen thousand, three hundred twelve".