315399040 has 128 divisors (see below), whose sum is σ = 835453440. Its totient is φ = 112896000.

The previous prime is 315399013. The next prime is 315399043. The reversal of 315399040 is 40993513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 315398987 and 315399005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315399043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499525 + ... + 500155.

It is an arithmetic number, because the mean of its divisors is an integer number (6526980).

Almost surely, 2^315399040 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 315399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417726720).

315399040 is an abundant number, since it is smaller than the sum of its proper divisors (520054400).

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

315399040 is a wasteful number, since it uses less digits than its factorization.

315399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 315399040 is about 17759.4774697906. The cubic root of 315399040 is about 680.6964030484.

The spelling of 315399040 in words is "three hundred fifteen million, three hundred ninety-nine thousand, forty".