315772416 has 240 divisors, whose sum is σ = 1005404400. Its totient is φ = 94961664.

The previous prime is 315772409. The next prime is 315772423. The reversal of 315772416 is 614277513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315772409) and next prime (315772423).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271675 + ... + 2271813.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^315772416 is an apocalyptic number.

315772416 is a gapful number since it is divisible by the number (36) 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 315772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502702200).

315772416 is an abundant number, since it is smaller than the sum of its proper divisors (689631984).

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

315772416 is a wasteful number, since it uses less digits than its factorization.

315772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 315772416 is about 17769.9863815367. The cubic root of 315772416 is about 680.9649046842.

The spelling of 315772416 in words is "three hundred fifteen million, seven hundred seventy-two thousand, four hundred sixteen".