315228160 has 144 divisors (see below), whose sum is σ = 836760456. Its totient is φ = 113246208.

The previous prime is 315228149. The next prime is 315228163. The reversal of 315228160 is 61822513.

It can be written as a sum of positive squares in 4 ways, for example, as 260112384 + 55115776 = 16128^2 + 7424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315228163) 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, 8519662 + ... + 8519698.

Almost surely, 2^315228160 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 315228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418380228).

315228160 is an abundant number, since it is smaller than the sum of its proper divisors (521532296).

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

315228160 is an frugal number, since it uses more digits than its factorization.

315228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 315228160 is about 17754.6658656253. The cubic root of 315228160 is about 680.5734493723.

The spelling of 315228160 in words is "three hundred fifteen million, two hundred twenty-eight thousand, one hundred sixty".