393813372 has 24 divisors (see below), whose sum is σ = 920336256. Its totient is φ = 131065648.

The previous prime is 393813349. The next prime is 393813397. The reversal of 393813372 is 273318393.

It is a super-3 number, since 3×393813372³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 393813372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17598 + ... + 33125.

It is an arithmetic number, because the mean of its divisors is an integer number (38347344).

Almost surely, 2^393813372 is an apocalyptic number.

It is an amenable number.

393813372 is an abundant number, since it is smaller than the sum of its proper divisors (526522884).

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

393813372 is a wasteful number, since it uses less digits than its factorization.

393813372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51377 (or 51375 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 393813372 is about 19844.7315930450. The cubic root of 393813372 is about 732.9879237427.

The spelling of 393813372 in words is "three hundred ninety-three million, eight hundred thirteen thousand, three hundred seventy-two".