384360 has 32 divisors (see below), whose sum is σ = 1153440. Its totient is φ = 102464.

The previous prime is 384359. The next prime is 384367. The reversal of 384360 is 63483.

384360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 384360.

It is not an unprimeable number, because it can be changed into a prime (384367) 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, 1482 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (36045).

2³⁸⁴³⁶⁰ is an apocalyptic number.

384360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384360 is an abundant number, since it is smaller than the sum of its proper divisors (769080).

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

384360 is a wasteful number, since it uses less digits than its factorization.

384360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 384360 is about 619.9677410963. The cubic root of 384360 is about 72.7075306263.

The spelling of 384360 in words is "three hundred eighty-four thousand, three hundred sixty".