386456400 has 240 divisors, whose sum is σ = 1501005120. Its totient is φ = 93657600.

The previous prime is 386456341. The next prime is 386456449. The reversal of 386456400 is 4654683.

386456400 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117174 + ... + 120426.

It is an arithmetic number, because the mean of its divisors is an integer number (6254188).

Almost surely, 2^386456400 is an apocalyptic number.

386456400 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 386456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750502560).

386456400 is an abundant number, since it is smaller than the sum of its proper divisors (1114548720).

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

386456400 is a wasteful number, since it uses less digits than its factorization.

386456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 386456400 is about 19658.4943472281. The cubic root of 386456400 is about 728.3947965290.

The spelling of 386456400 in words is "three hundred eighty-six million, four hundred fifty-six thousand, four hundred".