384960 has 56 divisors (see below), whose sum is σ = 1225296. Its totient is φ = 102400.

The previous prime is 384941. The next prime is 384961. The reversal of 384960 is 69483.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760 + ... + 1160.

2³⁸⁴⁹⁶⁰ is an apocalyptic number.

384960 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 384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612648).

384960 is an abundant number, since it is smaller than the sum of its proper divisors (840336).

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

384960 is a wasteful number, since it uses less digits than its factorization.

384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 384960 is about 620.4514485437. The cubic root of 384960 is about 72.7453439941.

The spelling of 384960 in words is "three hundred eighty-four thousand, nine hundred sixty".