441344 has 22 divisors (see below), whose sum is σ = 884304. Its totient is φ = 220160.

The previous prime is 441319. The next prime is 441349. The reversal of 441344 is 443144.

441344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4 + 4⁵ + 3¹¹ + 1 + 4⁵ + 4⁹ .

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 441344.

It is not an unprimeable number, because it can be changed into a prime (441349) by changing a digit.

441344 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 809 + ... + 1239.

441344 is a Friedman number, since it can be written as 431*4^4*4, using all its digits and the basic arithmetic operations.

2⁴⁴¹³⁴⁴ 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 441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152).

441344 is an abundant number, since it is smaller than the sum of its proper divisors (442960).

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

441344 is an equidigital number, since it uses as much as digits as its factorization.

441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 441344 is about 664.3372637449. The cubic root of 441344 is about 76.1364124398.

Adding to 441344 its reverse (443144), we get a palindrome (884488).

The spelling of 441344 in words is "four hundred forty-one thousand, three hundred forty-four", and thus it is an iban number.