312893440 has 56 divisors (see below), whose sum is σ = 750996720. Its totient is φ = 125140992.

The previous prime is 312893437. The next prime is 312893513. The reversal of 312893440 is 44398213.

It is a junction number, because it is equal to n+sod(n) for n = 312893396 and 312893405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37141 + ... + 44779.

Almost surely, 2^312893440 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 312893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375498360).

312893440 is an abundant number, since it is smaller than the sum of its proper divisors (438103280).

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

312893440 is an frugal number, since it uses more digits than its factorization.

312893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 312893440 is about 17688.7941929347. The cubic root of 312893440 is about 678.8890741727.

The spelling of 312893440 in words is "three hundred twelve million, eight hundred ninety-three thousand, four hundred forty".