315058480 has 80 divisors (see below), whose sum is σ = 804734208. Its totient is φ = 113760000.

The previous prime is 315058451. The next prime is 315058493. The reversal of 315058480 is 84850513.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131695 + ... + 134065.

Almost surely, 2^315058480 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 315058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402367104).

315058480 is an abundant number, since it is smaller than the sum of its proper divisors (489675728).

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

315058480 is a wasteful number, since it uses less digits than its factorization.

315058480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 315058480 is about 17749.8867602022. The cubic root of 315058480 is about 680.4513151600.

The spelling of 315058480 in words is "three hundred fifteen million, fifty-eight thousand, four hundred eighty".