313421400 has 144 divisors (see below), whose sum is σ = 1091727000. Its totient is φ = 83566080.

The previous prime is 313421369. The next prime is 313421411. The reversal of 313421400 is 4124313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45376 + ... + 51824.

Almost surely, 2^313421400 is an apocalyptic number.

313421400 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 313421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545863500).

313421400 is an abundant number, since it is smaller than the sum of its proper divisors (778305600).

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

313421400 is a wasteful number, since it uses less digits than its factorization.

313421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313421400 is about 17703.7114752811. The cubic root of 313421400 is about 679.2707002281.

Adding to 313421400 its reverse (4124313), we get a palindrome (317545713).

The spelling of 313421400 in words is "three hundred thirteen million, four hundred twenty-one thousand, four hundred".