315346560 has 256 divisors, whose sum is σ = 1082799360. Its totient is φ = 77856768.

The previous prime is 315346541. The next prime is 315346567. The reversal of 315346560 is 65643513.

315346560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (315346567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633824 + ... + 1634016.

It is an arithmetic number, because the mean of its divisors is an integer number (4229685).

Almost surely, 2^315346560 is an apocalyptic number.

315346560 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 315346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541399680).

315346560 is an abundant number, since it is smaller than the sum of its proper divisors (767452800).

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

315346560 is a wasteful number, since it uses less digits than its factorization.

315346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 315346560 is about 17757.9998873747. Note that the first 3 decimals coincide. The cubic root of 315346560 is about 680.6586467205.

The spelling of 315346560 in words is "three hundred fifteen million, three hundred forty-six thousand, five hundred sixty".