313326400 has 84 divisors (see below), whose sum is σ = 778250412. Its totient is φ = 124149760.

The previous prime is 313326389. The next prime is 313326413. The reversal of 313326400 is 4623313.

It can be written as a sum of positive squares in 6 ways, for example, as 70963776 + 242362624 = 8424^2 + 15568^2 .

It is a super-3 number, since 3×313326400³ (a number of 26 digits) contains 333 as substring.

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, 179934 + ... + 181666.

Almost surely, 2^313326400 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 313326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389125206).

313326400 is an abundant number, since it is smaller than the sum of its proper divisors (464924012).

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

313326400 is a wasteful number, since it uses less digits than its factorization.

313326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 313326400 is about 17701.0282187222. The cubic root of 313326400 is about 679.2020628840.

Adding to 313326400 its reverse (4623313), we get a palindrome (317949713).

The spelling of 313326400 in words is "three hundred thirteen million, three hundred twenty-six thousand, four hundred".