315366948 has 72 divisors (see below), whose sum is σ = 870682176. Its totient is φ = 95659200.

The previous prime is 315366943. The next prime is 315366971. The reversal of 315366948 is 849663513.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (315366941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28483 + ... + 37973.

It is an arithmetic number, because the mean of its divisors is an integer number (12092808).

Almost surely, 2^315366948 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 315366948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435341088).

315366948 is an abundant number, since it is smaller than the sum of its proper divisors (555315228).

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

315366948 is a wasteful number, since it uses less digits than its factorization.

315366948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585 (or 9580 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 315366948 is about 17758.5739292320. The cubic root of 315366948 is about 680.6733152061.

The spelling of 315366948 in words is "three hundred fifteen million, three hundred sixty-six thousand, nine hundred forty-eight".