315914368 has 192 divisors, whose sum is σ = 844192800. Its totient is φ = 116121600.

The previous prime is 315914341. The next prime is 315914369. The reversal of 315914368 is 863419513.

It is a self number, because there is not a number n which added to its sum of digits gives 315914368.

It is not an unprimeable number, because it can be changed into a prime (315914369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1310728 + ... + 1310968.

Almost surely, 2^315914368 is an apocalyptic number.

315914368 is a gapful number since it is divisible by the number (38) 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 315914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422096400).

315914368 is an abundant number, since it is smaller than the sum of its proper divisors (528278432).

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

315914368 is a wasteful number, since it uses less digits than its factorization.

315914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 315914368 is about 17773.9800832565. The cubic root of 315914368 is about 681.0669294802.

The spelling of 315914368 in words is "three hundred fifteen million, nine hundred fourteen thousand, three hundred sixty-eight".