312297984 has 320 divisors, whose sum is σ = 1031184000. Its totient is φ = 92897280.

The previous prime is 312297983. The next prime is 312297991. The reversal of 312297984 is 489792213.

It is not an unprimeable number, because it can be changed into a prime (312297983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7617004 + ... + 7617044.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^312297984 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 312297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592000).

312297984 is an abundant number, since it is smaller than the sum of its proper divisors (718886016).

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

312297984 is a wasteful number, since it uses less digits than its factorization.

312297984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 312297984 is about 17671.9547305894. The cubic root of 312297984 is about 678.4581444171.

The spelling of 312297984 in words is "three hundred twelve million, two hundred ninety-seven thousand, nine hundred eighty-four".