386305920 has 768 divisors, whose sum is σ = 1817786880. Its totient is φ = 72990720.

The previous prime is 386305901. The next prime is 386305921. The reversal of 386305920 is 29503683.

386305920 is a `hidden beast` number, since 3 + 8 + 63 + 0 + 592 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386305921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5765727 + ... + 5765793.

It is an arithmetic number, because the mean of its divisors is an integer number (2366910).

Almost surely, 2^386305920 is an apocalyptic number.

386305920 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 386305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908893440).

386305920 is an abundant number, since it is smaller than the sum of its proper divisors (1431480960).

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

386305920 is a wasteful number, since it uses less digits than its factorization.

386305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 386305920 is about 19654.6666214413. Note that the first 4 decimals coincide. The cubic root of 386305920 is about 728.3002424571.

The spelling of 386305920 in words is "three hundred eighty-six million, three hundred five thousand, nine hundred twenty".