386386560 has 432 divisors, whose sum is σ = 1595158110. Its totient is φ = 85929984.

The previous prime is 386386549. The next prime is 386386601. The reversal of 386386560 is 65683683.

386386560 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 86 + 560 = 666.

386386560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 386358336 + 28224 = 19656^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10442862 + ... + 10442898.

Almost surely, 2^386386560 is an apocalyptic number.

386386560 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 386386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797579055).

386386560 is an abundant number, since it is smaller than the sum of its proper divisors (1208771550).

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

386386560 is a wasteful number, since it uses less digits than its factorization.

386386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 386386560 is about 19656.7179356066. The cubic root of 386386560 is about 728.3509156346.

The spelling of 386386560 in words is "three hundred eighty-six million, three hundred eighty-six thousand, five hundred sixty".