312904512 has 112 divisors (see below), whose sum is σ = 959998080. Its totient is φ = 99753984.

The previous prime is 312904511. The next prime is 312904549. The reversal of 312904512 is 215409213.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312904511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35808 + ... + 43680.

Almost surely, 2^312904512 is an apocalyptic number.

312904512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312904512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479999040).

312904512 is an abundant number, since it is smaller than the sum of its proper divisors (647093568).

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

312904512 is a wasteful number, since it uses less digits than its factorization.

312904512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 312904512 is about 17689.1071566657. The cubic root of 312904512 is about 678.8970817670.

The spelling of 312904512 in words is "three hundred twelve million, nine hundred four thousand, five hundred twelve".