386282160 has 480 divisors, whose sum is σ = 1587755520. Its totient is φ = 82944000.

The previous prime is 386282153. The next prime is 386282173. The reversal of 386282160 is 61282683.

386282160 is a `hidden beast` number, since 3 + 8 + 628 + 21 + 6 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2558085 + ... + 2558235.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2^386282160 is an apocalyptic number.

386282160 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 386282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

386282160 is an abundant number, since it is smaller than the sum of its proper divisors (1201473360).

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

386282160 is a wasteful number, since it uses less digits than its factorization.

386282160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 386282160 is about 19654.0621755402. The cubic root of 386282160 is about 728.2853106223.

The spelling of 386282160 in words is "three hundred eighty-six million, two hundred eighty-two thousand, one hundred sixty".