386566400 has 324 divisors, whose sum is σ = 1167164880. Its totient is φ = 125337600.

The previous prime is 386566363. The next prime is 386566403. The reversal of 386566400 is 4665683.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (386566403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20345591 + ... + 20345609.

Almost surely, 2^386566400 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 386566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583582440).

386566400 is an abundant number, since it is smaller than the sum of its proper divisors (780598480).

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

386566400 is a wasteful number, since it uses less digits than its factorization.

386566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 386566400 is about 19661.2919209293. The cubic root of 386566400 is about 728.4638994746.

The spelling of 386566400 in words is "three hundred eighty-six million, five hundred sixty-six thousand, four hundred".