312324400 has 120 divisors (see below), whose sum is σ = 788788800. Its totient is φ = 118702080.

The previous prime is 312324371. The next prime is 312324401. The reversal of 312324400 is 4423213.

312324400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (312324401) by changing a digit.

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, 695376 + ... + 695824.

It is an arithmetic number, because the mean of its divisors is an integer number (6573240).

Almost surely, 2^312324400 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 312324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394394400).

312324400 is an abundant number, since it is smaller than the sum of its proper divisors (476464400).

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

312324400 is a wasteful number, since it uses less digits than its factorization.

312324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 312324400 is about 17672.7021137120. The cubic root of 312324400 is about 678.4772732044.

Adding to 312324400 its reverse (4423213), we get a palindrome (316747613).

The spelling of 312324400 in words is "three hundred twelve million, three hundred twenty-four thousand, four hundred".