313256880 has 120 divisors (see below), whose sum is σ = 1074520512. Its totient is φ = 81748992.

The previous prime is 313256863. The next prime is 313256893. The reversal of 313256880 is 88652313.

313256880 is a `hidden beast` number, since 3 + 13 + 2 + 568 + 80 = 666.

313256880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29212 + ... + 38468.

Almost surely, 2^313256880 is an apocalyptic number.

313256880 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 313256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537260256).

313256880 is an abundant number, since it is smaller than the sum of its proper divisors (761263632).

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

313256880 is a wasteful number, since it uses less digits than its factorization.

313256880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9323 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 313256880 is about 17699.0643820514. The cubic root of 313256880 is about 679.1518260063.

The spelling of 313256880 in words is "three hundred thirteen million, two hundred fifty-six thousand, eight hundred eighty".