313072480 has 96 divisors (see below), whose sum is σ = 851800320. Its totient is φ = 106513920.

The previous prime is 313072469. The next prime is 313072511. The reversal of 313072480 is 84270313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154675 + ... + 156685.

It is an arithmetic number, because the mean of its divisors is an integer number (8872920).

Almost surely, 2^313072480 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 313072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425900160).

313072480 is an abundant number, since it is smaller than the sum of its proper divisors (538727840).

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

313072480 is a wasteful number, since it uses less digits than its factorization.

313072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 313072480 is about 17693.8543002931. The cubic root of 313072480 is about 679.0185379753.

The spelling of 313072480 in words is "three hundred thirteen million, seventy-two thousand, four hundred eighty".