384860160 has 320 divisors, whose sum is σ = 1427352300. Its totient is φ = 99090432.

The previous prime is 384860159. The next prime is 384860167. The reversal of 384860160 is 61068483.

It is a happy number.

384860160 is a `hidden beast` number, since 3 + 8 + 48 + 601 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383533056 + 1327104 = 19584^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (384860167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13271026 + ... + 13271054.

Almost surely, 2^384860160 is an apocalyptic number.

384860160 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 384860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713676150).

384860160 is an abundant number, since it is smaller than the sum of its proper divisors (1042492140).

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

384860160 is an frugal number, since it uses more digits than its factorization.

384860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

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

The square root of 384860160 is about 19617.8530935472. The cubic root of 384860160 is about 727.3905457608.

The spelling of 384860160 in words is "three hundred eighty-four million, eight hundred sixty thousand, one hundred sixty".