313330400 has 72 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 117954560.

The previous prime is 313330399. The next prime is 313330439. The reversal of 313330400 is 4033313.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2081 + ... + 25119.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^313330400 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 313330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

313330400 is an abundant number, since it is smaller than the sum of its proper divisors (496617760).

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

313330400 is a wasteful number, since it uses less digits than its factorization.

313330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23076 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 313330400 is about 17701.1412061483. The cubic root of 313330400 is about 679.2049531572.

Adding to 313330400 its reverse (4033313), we get a palindrome (317363713).

It can be divided in two parts, 3133 and 30400, that added together give a palindrome (33533).

The spelling of 313330400 in words is "three hundred thirteen million, three hundred thirty thousand, four hundred".