315664290 has 224 divisors, whose sum is σ = 934908480. Its totient is φ = 76422528.

The previous prime is 315664241. The next prime is 315664291. The reversal of 315664290 is 92466513.

It is a happy number.

315664290 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 642 + 9 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (315664291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5955904 + ... + 5955956.

Almost surely, 2^315664290 is an apocalyptic number.

315664290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315664290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467454240).

315664290 is an abundant number, since it is smaller than the sum of its proper divisors (619244190).

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

315664290 is a wasteful number, since it uses less digits than its factorization.

315664290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 315664290 is about 17766.9437439307. The cubic root of 315664290 is about 680.8871710452.

The spelling of 315664290 in words is "three hundred fifteen million, six hundred sixty-four thousand, two hundred ninety".