312004400 has 90 divisors (see below), whose sum is σ = 796572900. Its totient is φ = 117416960.

The previous prime is 312004391. The next prime is 312004487. The reversal of 312004400 is 4400213.

312004400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 17 ways as a sum of consecutive naturals, for example, 114251 + ... + 116949.

It is an arithmetic number, because the mean of its divisors is an integer number (8850810).

Almost surely, 2^312004400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398286450).

312004400 is an abundant number, since it is smaller than the sum of its proper divisors (484568500).

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

312004400 is a wasteful number, since it uses less digits than its factorization.

312004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 312004400 is about 17663.6462826903. The cubic root of 312004400 is about 678.2454769063.

Adding to 312004400 its reverse (4400213), we get a palindrome (316404613).

The spelling of 312004400 in words is "three hundred twelve million, four thousand, four hundred".