4832384 has 32 divisors (see below), whose sum is σ = 10138800. Its totient is φ = 2287872.

The previous prime is 4832363. The next prime is 4832411.

4832384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4 + 8 + 3⁵ + 2¹⁵ + 3¹⁴ + 8 + 4⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 4832384.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1439 + ... + 3425.

Almost surely, 2^4832384 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 4832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069400).

4832384 is an abundant number, since it is smaller than the sum of its proper divisors (5306416).

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

4832384 is a wasteful number, since it uses less digits than its factorization.

4832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2008 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 4832384 is about 2198.2684094532. The cubic root of 4832384 is about 169.0650403813.

The spelling of 4832384 in words is "four million, eight hundred thirty-two thousand, three hundred eighty-four".