393747648 has 112 divisors (see below), whose sum is σ = 1195303680. Its totient is φ = 112057344.

The previous prime is 393747637. The next prime is 393747719. The reversal of 393747648 is 846747393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 393747648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508990 + ... + 509762.

Almost surely, 2^393747648 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 393747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597651840).

393747648 is an abundant number, since it is smaller than the sum of its proper divisors (801556032).

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

393747648 is a wasteful number, since it uses less digits than its factorization.

393747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 393747648 is about 19843.0755680666. The cubic root of 393747648 is about 732.9471450541.

The spelling of 393747648 in words is "three hundred ninety-three million, seven hundred forty-seven thousand, six hundred forty-eight".