321311400 has 96 divisors (see below), whose sum is σ = 1012509600. Its totient is φ = 84268800.

The previous prime is 321311377. The next prime is 321311447. The reversal of 321311400 is 4113123.

It is a super-5 number, since 5×321311400⁵ (a number of 44 digits) contains 55555 as substring.

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 321311400.

It is an unprimeable number.

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, 32211 + ... + 40989.

It is an arithmetic number, because the mean of its divisors is an integer number (10546975).

Almost surely, 2^321311400 is an apocalyptic number.

321311400 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 321311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506254800).

321311400 is an abundant number, since it is smaller than the sum of its proper divisors (691198200).

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

321311400 is a wasteful number, since it uses less digits than its factorization.

321311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 321311400 is about 17925.1610871423. The cubic root of 321311400 is about 684.9234645518.

Adding to 321311400 its reverse (4113123), we get a palindrome (325424523).

The spelling of 321311400 in words is "three hundred twenty-one million, three hundred eleven thousand, four hundred".