393940096 has 64 divisors (see below), whose sum is σ = 872467200. Its totient is φ = 175651840.

The previous prime is 393940093. The next prime is 393940111. The reversal of 393940096 is 690049393.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (393940093) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 71985 + ... + 77263.

It is an arithmetic number, because the mean of its divisors is an integer number (13632300).

Almost surely, 2^393940096 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 393940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436233600).

393940096 is an abundant number, since it is smaller than the sum of its proper divisors (478527104).

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

393940096 is a wasteful number, since it uses less digits than its factorization.

393940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 43.

The square root of 393940096 is about 19847.9242239585. The cubic root of 393940096 is about 733.0665372914.

The spelling of 393940096 in words is "three hundred ninety-three million, nine hundred forty thousand, ninety-six".