315388416 has 80 divisors (see below), whose sum is σ = 960277824. Its totient is φ = 90107904.

The previous prime is 315388399. The next prime is 315388417. The reversal of 315388416 is 614883513.

It is not an unprimeable number, because it can be changed into a prime (315388417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3915 + ... + 25418.

Almost surely, 2^315388416 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 315388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480138912).

315388416 is an abundant number, since it is smaller than the sum of its proper divisors (644889408).

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

315388416 is an equidigital number, since it uses as much as digits as its factorization.

315388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29361 (or 29345 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 315388416 is about 17759.1783593724. The cubic root of 315388416 is about 680.6887600324.

The spelling of 315388416 in words is "three hundred fifteen million, three hundred eighty-eight thousand, four hundred sixteen".