315315840 has 256 divisors, whose sum is σ = 1189728000. Its totient is φ = 69500928.

The previous prime is 315315797. The next prime is 315315841. The reversal of 315315840 is 48513513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 315315798 and 315315807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315315841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389356 + ... + 390164.

It is an arithmetic number, because the mean of its divisors is an integer number (4647375).

Almost surely, 2^315315840 is an apocalyptic number.

315315840 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 315315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594864000).

315315840 is an abundant number, since it is smaller than the sum of its proper divisors (874412160).

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

315315840 is a wasteful number, since it uses less digits than its factorization.

315315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 315315840 is about 17757.1349040322. The cubic root of 315315840 is about 680.6365435116.

The spelling of 315315840 in words is "three hundred fifteen million, three hundred fifteen thousand, eight hundred forty".