312508416 has 192 divisors, whose sum is σ = 965723760. Its totient is φ = 89128960.

The previous prime is 312508397. The next prime is 312508439. The reversal of 312508416 is 614805213.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18382840 + ... + 18382856.

Almost surely, 2^312508416 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 312508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482861880).

312508416 is an abundant number, since it is smaller than the sum of its proper divisors (653215344).

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

312508416 is an equidigital number, since it uses as much as digits as its factorization.

312508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 312508416 is about 17677.9075684878. The cubic root of 312508416 is about 678.6104959710.

The spelling of 312508416 in words is "three hundred twelve million, five hundred eight thousand, four hundred sixteen".