384888 has 64 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 104832.

The previous prime is 384851. The next prime is 384889. The reversal of 384888 is 888483.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

384888 is a modest number, since divided by 888 gives 384 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384888.

It is not an unprimeable number, because it can be changed into a prime (384889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4833 + ... + 4911.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2³⁸⁴⁸⁸⁸ 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 384888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

384888 is an abundant number, since it is smaller than the sum of its proper divisors (767112).

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

384888 is a wasteful number, since it uses less digits than its factorization.

384888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 384888 is about 620.3934235628. The cubic root of 384888 is about 72.7408084655.

The spelling of 384888 in words is "three hundred eighty-four thousand, eight hundred eighty-eight".