393446976 has 112 divisors (see below), whose sum is σ = 1127052864. Its totient is φ = 120416256.

The previous prime is 393446953. The next prime is 393447013. The reversal of 393446976 is 679644393.

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, 706090 + ... + 706646.

It is an arithmetic number, because the mean of its divisors is an integer number (10062972).

Almost surely, 2^393446976 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 393446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563526432).

393446976 is an abundant number, since it is smaller than the sum of its proper divisors (733605888).

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

393446976 is a wasteful number, since it uses less digits than its factorization.

393446976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 51.

The square root of 393446976 is about 19835.4978762823. The cubic root of 393446976 is about 732.7605341598.

The spelling of 393446976 in words is "three hundred ninety-three million, four hundred forty-six thousand, nine hundred seventy-six".