315561408 has 56 divisors (see below), whose sum is σ = 837572112. Its totient is φ = 104853504.

The previous prime is 315561377. The next prime is 315561413. The reversal of 315561408 is 804165513.

It is a super-3 number, since 3×315561408³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62266 + ... + 67142.

Almost surely, 2^315561408 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 315561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418786056).

315561408 is an abundant number, since it is smaller than the sum of its proper divisors (522010704).

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

315561408 is a wasteful number, since it uses less digits than its factorization.

315561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 315561408 is about 17764.0481872798. The cubic root of 315561408 is about 680.8131909257.

The spelling of 315561408 in words is "three hundred fifteen million, five hundred sixty-one thousand, four hundred eight".