312446848 has 64 divisors (see below), whose sum is σ = 718243200. Its totient is φ = 132613632.

The previous prime is 312446843. The next prime is 312446863. The reversal of 312446848 is 848644213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 312446848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312446843) 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, 94243 + ... + 97501.

It is an arithmetic number, because the mean of its divisors is an integer number (11222550).

Almost surely, 2^312446848 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 312446848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359121600).

312446848 is an abundant number, since it is smaller than the sum of its proper divisors (405796352).

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

312446848 is a wasteful number, since it uses less digits than its factorization.

312446848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3375 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 312446848 is about 17676.1661001474. The cubic root of 312446848 is about 678.5659281739.

The spelling of 312446848 in words is "three hundred twelve million, four hundred forty-six thousand, eight hundred forty-eight".