312725448 has 240 divisors, whose sum is σ = 1039955280. Its totient is φ = 88016544.

The previous prime is 312725447. The next prime is 312725449. The reversal of 312725448 is 844527213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312725447) and next prime (312725449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312725447) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4667511 + ... + 4667577.

It is an arithmetic number, because the mean of its divisors is an integer number (4333147).

Almost surely, 2^312725448 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 312725448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519977640).

312725448 is an abundant number, since it is smaller than the sum of its proper divisors (727229832).

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

312725448 is an frugal number, since it uses more digits than its factorization.

312725448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 312725448 is about 17684.0450123833. The cubic root of 312725448 is about 678.7675542604.

The spelling of 312725448 in words is "three hundred twelve million, seven hundred twenty-five thousand, four hundred forty-eight".