384180 has 48 divisors (see below), whose sum is σ = 1135680. Its totient is φ = 96768.

The previous prime is 384173. The next prime is 384187. The reversal of 384180 is 81483.

It is an interprime number because it is at equal distance from previous prime (384173) and next prime (384187).

It is a self number, because there is not a number n which added to its sum of digits gives 384180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384187) 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, 972 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

2³⁸⁴¹⁸⁰ is an apocalyptic number.

384180 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 384180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567840).

384180 is an abundant number, since it is smaller than the sum of its proper divisors (751500).

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

384180 is a wasteful number, since it uses less digits than its factorization.

384180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 384180 is about 619.8225552527. The cubic root of 384180 is about 72.6961789429.

The spelling of 384180 in words is "three hundred eighty-four thousand, one hundred eighty".