313958400 has 336 divisors, whose sum is σ = 1202643264. Its totient is φ = 70778880.

The previous prime is 313958387. The next prime is 313958401. The reversal of 313958400 is 4859313.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (313958401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300764 + ... + 4300836.

Almost surely, 2^313958400 is an apocalyptic number.

313958400 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 313958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601321632).

313958400 is an abundant number, since it is smaller than the sum of its proper divisors (888684864).

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

313958400 is an equidigital number, since it uses as much as digits as its factorization.

313958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 313958400 is about 17718.8712958811. The cubic root of 313958400 is about 679.6584212953.

The spelling of 313958400 in words is "three hundred thirteen million, nine hundred fifty-eight thousand, four hundred".