384480 has 96 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 101376.

The previous prime is 384479. The next prime is 384481. The reversal of 384480 is 84483.

It is an interprime number because it is at equal distance from previous prime (384479) and next prime (384481).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384481) 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 15 ways as a sum of consecutive naturals, for example, 4276 + ... + 4364.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2³⁸⁴⁴⁸⁰ is an apocalyptic number.

384480 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 384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

384480 is an abundant number, since it is smaller than the sum of its proper divisors (976320).

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

384480 is a wasteful number, since it uses less digits than its factorization.

384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 384480 is about 620.0645127727. The cubic root of 384480 is about 72.7150964464.

The spelling of 384480 in words is "three hundred eighty-four thousand, four hundred eighty".