313925040 has 240 divisors, whose sum is σ = 1238983200. Its totient is φ = 70225920.

The previous prime is 313925023. The next prime is 313925041. The reversal of 313925040 is 40529313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 313924995 and 313925013.

It is not an unprimeable number, because it can be changed into a prime (313925041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101436 + ... + 104484.

It is an arithmetic number, because the mean of its divisors is an integer number (5162430).

Almost surely, 2^313925040 is an apocalyptic number.

313925040 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 313925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619491600).

313925040 is an abundant number, since it is smaller than the sum of its proper divisors (925058160).

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

313925040 is a wasteful number, since it uses less digits than its factorization.

313925040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 313925040 is about 17717.9299016561. The cubic root of 313925040 is about 679.6343478214.

The spelling of 313925040 in words is "three hundred thirteen million, nine hundred twenty-five thousand, forty".