313613480 has 64 divisors (see below), whose sum is σ = 728090640. Its totient is φ = 121485312.

The previous prime is 313613477. The next prime is 313613507. The reversal of 313613480 is 84316313.

313613480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 205578244 + 108035236 = 14338^2 + 10394^2 .

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, 462902 + ... + 463578.

Almost surely, 2^313613480 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 313613480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364045320).

313613480 is an abundant number, since it is smaller than the sum of its proper divisors (414477160).

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

313613480 is a wasteful number, since it uses less digits than its factorization.

313613480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 313613480 is about 17709.1354955571. The cubic root of 313613480 is about 679.4094353533.

Adding to 313613480 its reverse (84316313), we get a palindrome (397929793).

The spelling of 313613480 in words is "three hundred thirteen million, six hundred thirteen thousand, four hundred eighty".