313374160 has 80 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 111787520.

The previous prime is 313374091. The next prime is 313374167. The reversal of 313374160 is 61473313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313374167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43281 + ... + 49999.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^313374160 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 313374160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

313374160 is an abundant number, since it is smaller than the sum of its proper divisors (496574000).

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

313374160 is a wasteful number, since it uses less digits than its factorization.

313374160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 313374160 is about 17702.3772414893. The cubic root of 313374160 is about 679.2365711395.

It can be divided in two parts, 313 and 374160, that added together give a palindrome (374473).

The spelling of 313374160 in words is "three hundred thirteen million, three hundred seventy-four thousand, one hundred sixty".