312470400 has 288 divisors, whose sum is σ = 1135474200. Its totient is φ = 75468800.

The previous prime is 312470399. The next prime is 312470413. The reversal of 312470400 is 4074213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161466 + ... + 1161734.

Almost surely, 2^312470400 is an apocalyptic number.

312470400 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 312470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567737100).

312470400 is an abundant number, since it is smaller than the sum of its proper divisors (823003800).

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

312470400 is a wasteful number, since it uses less digits than its factorization.

312470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 312470400 is about 17676.8322954086. The cubic root of 312470400 is about 678.5829776692.

The spelling of 312470400 in words is "three hundred twelve million, four hundred seventy thousand, four hundred".