313774560 has 480 divisors, whose sum is σ = 1264564224. Its totient is φ = 72576000.

The previous prime is 313774553. The next prime is 313774561. The reversal of 313774560 is 65477313.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313774561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4419325 + ... + 4419395.

Almost surely, 2^313774560 is an apocalyptic number.

313774560 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 313774560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632282112).

313774560 is an abundant number, since it is smaller than the sum of its proper divisors (950789664).

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

313774560 is a wasteful number, since it uses less digits than its factorization.

313774560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 313774560 is about 17713.6828468842. The cubic root of 313774560 is about 679.5257362005.

It can be divided in two parts, 31377 and 4560, that added together give a cube (35937 = 33³).

The spelling of 313774560 in words is "three hundred thirteen million, seven hundred seventy-four thousand, five hundred sixty".