313104400 has 120 divisors (see below), whose sum is σ = 873049280. Its totient is φ = 105684480.

The previous prime is 313104383. The next prime is 313104427. The reversal of 313104400 is 4401313.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 186766 + ... + 188434.

Almost surely, 2^313104400 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 313104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436524640).

313104400 is an abundant number, since it is smaller than the sum of its proper divisors (559944880).

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

313104400 is a wasteful number, since it uses less digits than its factorization.

313104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313104400 is about 17694.7562854084. The cubic root of 313104400 is about 679.0416141387.

Adding to 313104400 its reverse (4401313), we get a palindrome (317505713).

The spelling of 313104400 in words is "three hundred thirteen million, one hundred four thousand, four hundred".