384817160 has 128 divisors (see below), whose sum is σ = 1081382400. Its totient is φ = 119992320.

The previous prime is 384817141. The next prime is 384817183. The reversal of 384817160 is 61718483.

384817160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257696 + ... + 259184.

It is an arithmetic number, because the mean of its divisors is an integer number (8448300).

Almost surely, 2^384817160 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 384817160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540691200).

384817160 is an abundant number, since it is smaller than the sum of its proper divisors (696565240).

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

384817160 is a wasteful number, since it uses less digits than its factorization.

384817160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 384817160 is about 19616.7571224196. The cubic root of 384817160 is about 727.3634545714.

The spelling of 384817160 in words is "three hundred eighty-four million, eight hundred seventeen thousand, one hundred sixty".