43824 has 40 divisors (see below), whose sum is σ = 124992. Its totient is φ = 13120.

The previous prime is 43801. The next prime is 43853. The reversal of 43824 is 42834.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 43824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 569.

2⁴³⁸²⁴ is an apocalyptic number.

43824 is a gapful number since it is divisible by the number (44) 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 43824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

43824 is an abundant number, since it is smaller than the sum of its proper divisors (81168).

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

43824 is a wasteful number, since it uses less digits than its factorization.

43824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 43824 is about 209.3418257301. The cubic root of 43824 is about 35.2563491405.

Subtracting from 43824 its reverse (42834), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 4 and 3824, that added together give a triangular number (3828 = T₈₇).

The spelling of 43824 in words is "forty-three thousand, eight hundred twenty-four".