311204400 has 120 divisors (see below), whose sum is σ = 1073629200. Its totient is φ = 76600320.

The previous prime is 311204297. The next prime is 311204417. The reversal of 311204400 is 4402113.

311204400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 311204400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5626 + ... + 25574.

It is an arithmetic number, because the mean of its divisors is an integer number (8946910).

Almost surely, 2^311204400 is an apocalyptic number.

311204400 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 311204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536814600).

311204400 is an abundant number, since it is smaller than the sum of its proper divisors (762424800).

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

311204400 is a wasteful number, since it uses less digits than its factorization.

311204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19983 (or 19972 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 311204400 is about 17640.9863669807. The cubic root of 311204400 is about 677.6652919321.

Adding to 311204400 its reverse (4402113), we get a palindrome (315606513).

The spelling of 311204400 in words is "three hundred eleven million, two hundred four thousand, four hundred".