443424 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 142080.

The previous prime is 443423. The next prime is 443431. The reversal of 443424 is 424344.

It is a tau number, because it is divible by the number of its divisors (48).

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 443424.

It is not an unprimeable number, because it can be changed into a prime (443423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2902 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴⁴³⁴²⁴ 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 443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

443424 is an abundant number, since it is smaller than the sum of its proper divisors (766176).

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

443424 is a wasteful number, since it uses less digits than its factorization.

443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 443424 is about 665.9008935270. The cubic root of 443424 is about 76.2558322154.

Adding to 443424 its reverse (424344), we get a palindrome (867768).

The spelling of 443424 in words is "four hundred forty-three thousand, four hundred twenty-four", and thus it is an iban number.