313140464 has 80 divisors (see below), whose sum is σ = 749952000. Its totient is φ = 123344640.

The previous prime is 313140449. The next prime is 313140473. The reversal of 313140464 is 464041313.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627287 + ... + 627785.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^313140464 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 313140464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

313140464 is an abundant number, since it is smaller than the sum of its proper divisors (436811536).

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

313140464 is a wasteful number, since it uses less digits than its factorization.

313140464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 313140464 is about 17695.7753150293. The cubic root of 313140464 is about 679.0676842680.

Adding to 313140464 its reverse (464041313), we get a palindrome (777181777).

The spelling of 313140464 in words is "three hundred thirteen million, one hundred forty thousand, four hundred sixty-four".