315441616 has 60 divisors (see below), whose sum is σ = 733941120. Its totient is φ = 130818240.

The previous prime is 315441601. The next prime is 315441641. The reversal of 315441616 is 616144513.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17815 + ... + 30793.

It is an arithmetic number, because the mean of its divisors is an integer number (12232352).

Almost surely, 2^315441616 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 315441616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366970560).

315441616 is an abundant number, since it is smaller than the sum of its proper divisors (418499504).

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

315441616 is a wasteful number, since it uses less digits than its factorization.

315441616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13019 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 315441616 is about 17760.6761132565. The cubic root of 315441616 is about 680.7270309435.

The spelling of 315441616 in words is "three hundred fifteen million, four hundred forty-one thousand, six hundred sixteen".