315165040 has 160 divisors (see below), whose sum is σ = 822000960. Its totient is φ = 111820800.

The previous prime is 315165031. The next prime is 315165041. The reversal of 315165040 is 40561513.

It is a junction number, because it is equal to n+sod(n) for n = 315164996 and 315165014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315165041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2405775 + ... + 2405905.

It is an arithmetic number, because the mean of its divisors is an integer number (5137506).

Almost surely, 2^315165040 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 315165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411000480).

315165040 is an abundant number, since it is smaller than the sum of its proper divisors (506835920).

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

315165040 is a wasteful number, since it uses less digits than its factorization.

315165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 315165040 is about 17752.8882157242. Note that the first 3 decimals coincide. The cubic root of 315165040 is about 680.5280212569.

The spelling of 315165040 in words is "three hundred fifteen million, one hundred sixty-five thousand, forty".