312725504 has 104 divisors (see below), whose sum is σ = 770609280. Its totient is φ = 123568128.

The previous prime is 312725477. The next prime is 312725507. The reversal of 312725504 is 405527213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312725507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372317 + ... + 373155.

Almost surely, 2^312725504 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 312725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385304640).

312725504 is an abundant number, since it is smaller than the sum of its proper divisors (457883776).

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

312725504 is an equidigital number, since it uses as much as digits as its factorization.

312725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 312725504 is about 17684.0465957314. The cubic root of 312725504 is about 678.7675947763.

The spelling of 312725504 in words is "three hundred twelve million, seven hundred twenty-five thousand, five hundred four".