315385560 has 288 divisors, whose sum is σ = 1256439600. Its totient is φ = 68221440.

The previous prime is 315385507. The next prime is 315385561. The reversal of 315385560 is 65583513.

315385560 = 201² + 202² + ... + 984².

315385560 is a `hidden beast` number, since 3 + 15 + 3 + 85 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315385561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334690 + ... + 335630.

Almost surely, 2^315385560 is an apocalyptic number.

315385560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315385560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628219800).

315385560 is an abundant number, since it is smaller than the sum of its proper divisors (941054040).

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

315385560 is a wasteful number, since it uses less digits than its factorization.

315385560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 315385560 is about 17759.0979500649. The cubic root of 315385560 is about 680.6867053670.

The spelling of 315385560 in words is "three hundred fifteen million, three hundred eighty-five thousand, five hundred sixty".