312379000 has 128 divisors (see below), whose sum is σ = 790171200. Its totient is φ = 115200000.

The previous prime is 312378977. The next prime is 312379021. The reversal of 312379000 is 973213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778800 + ... + 779200.

Almost surely, 2^312379000 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 312379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395085600).

312379000 is an abundant number, since it is smaller than the sum of its proper divisors (477792200).

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

312379000 is a wasteful number, since it uses less digits than its factorization.

312379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 312379000 is about 17674.2468014906. The cubic root of 312379000 is about 678.5168076335.

The spelling of 312379000 in words is "three hundred twelve million, three hundred seventy-nine thousand".