315413120 has 96 divisors (see below), whose sum is σ = 829018260. Its totient is φ = 114667520.

The previous prime is 315413117. The next prime is 315413149. The reversal of 315413120 is 21314513.

It can be written as a sum of positive squares in 2 ways, for example, as 288456256 + 26956864 = 16984^2 + 5192^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 315413092 and 315413101.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 75404 + ... + 79476.

Almost surely, 2^315413120 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 315413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414509130).

315413120 is an abundant number, since it is smaller than the sum of its proper divisors (513605140).

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

315413120 is a wasteful number, since it uses less digits than its factorization.

315413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 315413120 is about 17759.8738734260. The cubic root of 315413120 is about 680.7065320824.

Adding to 315413120 its reverse (21314513), we get a palindrome (336727633).

The spelling of 315413120 in words is "three hundred fifteen million, four hundred thirteen thousand, one hundred twenty".