393388400 has 120 divisors (see below), whose sum is σ = 977913600. Its totient is φ = 152006400.

The previous prime is 393388379. The next prime is 393388417. The reversal of 393388400 is 4883393.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864295 + ... + 1864505.

It is an arithmetic number, because the mean of its divisors is an integer number (8149280).

Almost surely, 2^393388400 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 393388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488956800).

393388400 is an abundant number, since it is smaller than the sum of its proper divisors (584525200).

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

393388400 is a wasteful number, since it uses less digits than its factorization.

393388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 393388400 is about 19834.0212765843. The cubic root of 393388400 is about 732.7241681317.

The spelling of 393388400 in words is "three hundred ninety-three million, three hundred eighty-eight thousand, four hundred".