993248304 has 80 divisors (see below), whose sum is σ = 2608092000. Its totient is φ = 325685248.

The previous prime is 993248297. The next prime is 993248327. The reversal of 993248304 is 403842399.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807562 + ... + 808790.

It is an arithmetic number, because the mean of its divisors is an integer number (32601150).

Almost surely, 2^993248304 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 993248304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304046000).

993248304 is an abundant number, since it is smaller than the sum of its proper divisors (1614843696).

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

993248304 is a wasteful number, since it uses less digits than its factorization.

993248304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 993248304 is about 31515.8421115476. The cubic root of 993248304 is about 997.7443505377.

The spelling of 993248304 in words is "nine hundred ninety-three million, two hundred forty-eight thousand, three hundred four".