312412400 has 60 divisors (see below), whose sum is σ = 794739312. Its totient is φ = 117611520.

The previous prime is 312412391. The next prime is 312412403. The reversal of 312412400 is 4214213.

It is a super-3 number, since 3×312412400³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312412403) 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 11 ways as a sum of consecutive naturals, for example, 16172 + ... + 29771.

Almost surely, 2^312412400 is an apocalyptic number.

It is an amenable number.

312412400 is an abundant number, since it is smaller than the sum of its proper divisors (482326912).

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

312412400 is a wasteful number, since it uses less digits than its factorization.

312412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45978 (or 45967 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 312412400 is about 17675.1916538407. The cubic root of 312412400 is about 678.5409894274.

Adding to 312412400 its reverse (4214213), we get a palindrome (316626613).

The spelling of 312412400 in words is "three hundred twelve million, four hundred twelve thousand, four hundred".