386402400 has 360 divisors, whose sum is σ = 1446235560. Its totient is φ = 100362240.

The previous prime is 386402399. The next prime is 386402413. The reversal of 386402400 is 4204683.

386402400 is a `hidden beast` number, since 386 + 40 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4341556 + ... + 4341644.

It is an arithmetic number, because the mean of its divisors is an integer number (4017321).

Almost surely, 2^386402400 is an apocalyptic number.

386402400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723117780).

386402400 is an abundant number, since it is smaller than the sum of its proper divisors (1059833160).

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

386402400 is a wasteful number, since it uses less digits than its factorization.

386402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 386402400 is about 19657.1208471638. The cubic root of 386402400 is about 728.3608684660.

The spelling of 386402400 in words is "three hundred eighty-six million, four hundred two thousand, four hundred".