315413220 has 96 divisors (see below), whose sum is σ = 925618176. Its totient is φ = 80150400.

The previous prime is 315413173. The next prime is 315413261. The reversal of 315413220 is 22314513.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123355 + ... + 125885.

It is an arithmetic number, because the mean of its divisors is an integer number (9641856).

Almost surely, 2^315413220 is an apocalyptic number.

315413220 is a gapful number since it is divisible by the number (30) 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 315413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462809088).

315413220 is an abundant number, since it is smaller than the sum of its proper divisors (610204956).

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

315413220 is a wasteful number, since it uses less digits than its factorization.

315413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 315413220 is about 17759.8766887611. The cubic root of 315413220 is about 680.7066040204.

Adding to 315413220 its reverse (22314513), we get a palindrome (337727733).

The spelling of 315413220 in words is "three hundred fifteen million, four hundred thirteen thousand, two hundred twenty".