384560 has 80 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 126720.

The previous prime is 384547. The next prime is 384577. The reversal of 384560 is 65483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384560.

It is an unprimeable number.

384560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16709 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2³⁸⁴⁵⁶⁰ 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 384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

384560 is an abundant number, since it is smaller than the sum of its proper divisors (686800).

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

384560 is a wasteful number, since it uses less digits than its factorization.

384560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 384560 is about 620.1290188340. The cubic root of 384560 is about 72.7201394519.

The spelling of 384560 in words is "three hundred eighty-four thousand, five hundred sixty".