312375000 has 336 divisors, whose sum is σ = 1202328360. Its totient is φ = 67200000.

The previous prime is 312374989. The next prime is 312375013. The reversal of 312375000 is 573213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18374992 + ... + 18375008.

Almost surely, 2^312375000 is an apocalyptic number.

312375000 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 312375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601164180).

312375000 is an abundant number, since it is smaller than the sum of its proper divisors (889953360).

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

312375000 is an equidigital number, since it uses as much as digits as its factorization.

312375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 312375000 is about 17674.1336421336. The cubic root of 312375000 is about 678.5139114947.

The spelling of 312375000 in words is "three hundred twelve million, three hundred seventy-five thousand".