386604400 has 360 divisors, whose sum is σ = 1238075520. Its totient is φ = 113218560.

The previous prime is 386604391. The next prime is 386604431. The reversal of 386604400 is 4406683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8990779 + ... + 8990821.

Almost surely, 2^386604400 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 386604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619037760).

386604400 is an abundant number, since it is smaller than the sum of its proper divisors (851471120).

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

386604400 is a wasteful number, since it uses less digits than its factorization.

386604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 386604400 is about 19662.2582629768. The cubic root of 386604400 is about 728.4877683547.

The spelling of 386604400 in words is "three hundred eighty-six million, six hundred four thousand, four hundred".