313200400 has 60 divisors (see below), whose sum is σ = 756549172. Its totient is φ = 124600320.

The previous prime is 313200397. The next prime is 313200403. The reversal of 313200400 is 4002313.

It is an interprime number because it is at equal distance from previous prime (313200397) and next prime (313200403).

It can be written as a sum of positive squares in 6 ways, for example, as 22429696 + 290770704 = 4736^2 + 17052^2 .

It is not an unprimeable number, because it can be changed into a prime (313200403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75172 + ... + 79228.

Almost surely, 2^313200400 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 313200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378274586).

313200400 is an abundant number, since it is smaller than the sum of its proper divisors (443348772).

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

313200400 is a wasteful number, since it uses less digits than its factorization.

313200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 313200400 is about 17697.4687455579. The cubic root of 313200400 is about 679.1110066840. Note that the first 3 decimals are identical.

Adding to 313200400 its reverse (4002313), we get a palindrome (317202713).

It can be divided in two parts, 313200 and 400, that added together give a square (313600 = 560²).

The spelling of 313200400 in words is "three hundred thirteen million, two hundred thousand, four hundred".