312399648 has 144 divisors (see below), whose sum is σ = 1000726272. Its totient is φ = 91584000.

The previous prime is 312399641. The next prime is 312399671. The reversal of 312399648 is 846993213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312399641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96618 + ... + 99798.

It is an arithmetic number, because the mean of its divisors is an integer number (6949488).

Almost surely, 2^312399648 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 312399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500363136).

312399648 is an abundant number, since it is smaller than the sum of its proper divisors (688326624).

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

312399648 is a wasteful number, since it uses less digits than its factorization.

312399648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3228 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 312399648 is about 17674.8309185689. The cubic root of 312399648 is about 678.5317571088.

The spelling of 312399648 in words is "three hundred twelve million, three hundred ninety-nine thousand, six hundred forty-eight".