312998400 has 720 divisors, whose sum is σ = 1385223840. Its totient is φ = 66355200.

The previous prime is 312998383. The next prime is 312998401. The reversal of 312998400 is 4899213.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312998401) 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 71 ways as a sum of consecutive naturals, for example, 16473591 + ... + 16473609.

It is an arithmetic number, because the mean of its divisors is an integer number (1923922).

Almost surely, 2^312998400 is an apocalyptic number.

312998400 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 312998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692611920).

312998400 is an abundant number, since it is smaller than the sum of its proper divisors (1072225440).

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

312998400 is a wasteful number, since it uses less digits than its factorization.

312998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 312998400 is about 17691.7607942228. The cubic root of 312998400 is about 678.9649767240.

The spelling of 312998400 in words is "three hundred twelve million, nine hundred ninety-eight thousand, four hundred".