384160 has 60 divisors (see below), whose sum is σ = 1058778. Its totient is φ = 131712.

The previous prime is 384157. The next prime is 384173. The reversal of 384160 is 61483.

384160 = T₇₆ + T₇₇ + ... + T₁₃₉.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 38416 = 588^2 + 196^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 54877 + ... + 54883.

384160 is a Friedman number, since it can be written as 140*(8+6)^3, using all its digits and the basic arithmetic operations.

2³⁸⁴¹⁶⁰ 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 384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529389).

384160 is an abundant number, since it is smaller than the sum of its proper divisors (674618).

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

384160 is an frugal number, since it uses more digits than its factorization.

384160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 384160 is about 619.8064213930. The cubic root of 384160 is about 72.6949174259.

The spelling of 384160 in words is "three hundred eighty-four thousand, one hundred sixty".