315971040 has 384 divisors, whose sum is σ = 1268047872. Its totient is φ = 64235520.

The previous prime is 315971017. The next prime is 315971041. The reversal of 315971040 is 40179513.

315971040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 315970989 and 315971007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315971041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3067629 + ... + 3067731.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^315971040 is an apocalyptic number.

315971040 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 315971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

315971040 is an abundant number, since it is smaller than the sum of its proper divisors (952076832).

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

315971040 is a wasteful number, since it uses less digits than its factorization.

315971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 315971040 is about 17775.5742523273. The cubic root of 315971040 is about 681.1076526646.

The spelling of 315971040 in words is "three hundred fifteen million, nine hundred seventy-one thousand, forty".