312850000 has 60 divisors (see below), whose sum is σ = 757756188. Its totient is φ = 125120000.

The previous prime is 312849989. The next prime is 312850003. The reversal of 312850000 is 58213.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 160376896 + 152473104 = 12664^2 + 12348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312850000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312850003) 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, 46872 + ... + 53128.

Almost surely, 2^312850000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378878094).

312850000 is an abundant number, since it is smaller than the sum of its proper divisors (444906188).

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

312850000 is an frugal number, since it uses more digits than its factorization.

312850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 312850000 is about 17687.5662542929. The cubic root of 312850000 is about 678.8576552694.

The spelling of 312850000 in words is "three hundred twelve million, eight hundred fifty thousand".