393679040 has 112 divisors (see below), whose sum is σ = 990843840. Its totient is φ = 148684800.

The previous prime is 393679037. The next prime is 393679051. The reversal of 393679040 is 40976393.

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, 654740 + ... + 655340.

It is an arithmetic number, because the mean of its divisors is an integer number (8846820).

Almost surely, 2^393679040 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 393679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495421920).

393679040 is an abundant number, since it is smaller than the sum of its proper divisors (597164800).

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

393679040 is a wasteful number, since it uses less digits than its factorization.

393679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 41.

The square root of 393679040 is about 19841.3467284859. The cubic root of 393679040 is about 732.9045721364.

The spelling of 393679040 in words is "three hundred ninety-three million, six hundred seventy-nine thousand, forty".