384048 has 80 divisors (see below), whose sum is σ = 1269760. Its totient is φ = 108864.

The previous prime is 384029. The next prime is 384049. The reversal of 384048 is 840483.

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

It is not an unprimeable number, because it can be changed into a prime (384049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2961 + ... + 3087.

It is an arithmetic number, because the mean of its divisors is an integer number (15872).

2³⁸⁴⁰⁴⁸ 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 384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634880).

384048 is an abundant number, since it is smaller than the sum of its proper divisors (885712).

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

384048 is a wasteful number, since it uses less digits than its factorization.

384048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

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

The square root of 384048 is about 619.7160640164. The cubic root of 384048 is about 72.6878521214.

The spelling of 384048 in words is "three hundred eighty-four thousand, forty-eight".