384572160 has 432 divisors, whose sum is σ = 1607074560. Its totient is φ = 82944000.

The previous prime is 384572159. The next prime is 384572183. The reversal of 384572160 is 61275483.

384572160 is a `hidden beast` number, since 3 + 84 + 572 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532035 + ... + 1532285.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^384572160 is an apocalyptic number.

384572160 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 384572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

384572160 is an abundant number, since it is smaller than the sum of its proper divisors (1222502400).

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

384572160 is a wasteful number, since it uses less digits than its factorization.

384572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 384572160 is about 19610.5114670679. The cubic root of 384572160 is about 727.2090592749.

The spelling of 384572160 in words is "three hundred eighty-four million, five hundred seventy-two thousand, one hundred sixty".