313310400 has 168 divisors, whose sum is σ = 1107210384. Its totient is φ = 77107200.

The previous prime is 313310377. The next prime is 313310407. The reversal of 313310400 is 4013313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313310400.

It is not an unprimeable number, because it can be changed into a prime (313310407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59890 + ... + 64910.

It is an arithmetic number, because the mean of its divisors is an integer number (6590538).

Almost surely, 2^313310400 is an apocalyptic number.

313310400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553605192).

313310400 is an abundant number, since it is smaller than the sum of its proper divisors (793899984).

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

313310400 is a wasteful number, since it uses less digits than its factorization.

313310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313310400 is about 17700.5762618057. The cubic root of 313310400 is about 679.1905015452.

Adding to 313310400 its reverse (4013313), we get a palindrome (317323713).

The spelling of 313310400 in words is "three hundred thirteen million, three hundred ten thousand, four hundred".