384084160 has 56 divisors (see below), whose sum is σ = 925683696. Its totient is φ = 151772160.

The previous prime is 384084157. The next prime is 384084167. The reversal of 384084160 is 61480483.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (384084167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19330 + ... + 33790.

It is an arithmetic number, because the mean of its divisors is an integer number (16530066).

Almost surely, 2^384084160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462841848).

384084160 is an abundant number, since it is smaller than the sum of its proper divisors (541599536).

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

384084160 is a wasteful number, since it uses less digits than its factorization.

384084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14561 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 384084160 is about 19598.0652106273. The cubic root of 384084160 is about 726.9013335558.

The spelling of 384084160 in words is "three hundred eighty-four million, eighty-four thousand, one hundred sixty".