312499200 has 264 divisors, whose sum is σ = 1115827888. Its totient is φ = 76677120.

The previous prime is 312499163. The next prime is 312499207. The reversal of 312499200 is 2994213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312499207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998244 + ... + 998556.

Almost surely, 2^312499200 is an apocalyptic number.

312499200 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 312499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557913944).

312499200 is an abundant number, since it is smaller than the sum of its proper divisors (803328688).

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

312499200 is a wasteful number, since it uses less digits than its factorization.

312499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 312499200 is about 17677.6469022322. The cubic root of 312499200 is about 678.6038250725.

It can be divided in two parts, 312 and 499200, that multiplied together give a square (155750400 = 12480²).

The spelling of 312499200 in words is "three hundred twelve million, four hundred ninety-nine thousand, two hundred".