393976240 has 80 divisors (see below), whose sum is σ = 1050343488. Its totient is φ = 134627328.

The previous prime is 393976237. The next prime is 393976283. The reversal of 393976240 is 42679393.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196684 + ... + 198676.

Almost surely, 2^393976240 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 393976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525171744).

393976240 is an abundant number, since it is smaller than the sum of its proper divisors (656367248).

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

393976240 is a wasteful number, since it uses less digits than its factorization.

393976240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The square root of 393976240 is about 19848.8347265022. The cubic root of 393976240 is about 733.0889562217.

The spelling of 393976240 in words is "three hundred ninety-three million, nine hundred seventy-six thousand, two hundred forty".