312975000 has 288 divisors, whose sum is σ = 1151645040. Its totient is φ = 76320000.

The previous prime is 312974969. The next prime is 312975037. The reversal of 312975000 is 579213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2924947 + ... + 2925053.

Almost surely, 2^312975000 is an apocalyptic number.

312975000 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 312975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575822520).

312975000 is an abundant number, since it is smaller than the sum of its proper divisors (838670040).

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

312975000 is a wasteful number, since it uses less digits than its factorization.

312975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 312975000 is about 17691.0994570716. The cubic root of 312975000 is about 678.9480563218.

The spelling of 312975000 in words is "three hundred twelve million, nine hundred seventy-five thousand".