4411344 has 80 divisors (see below), whose sum is σ = 13729280. Its totient is φ = 1192320.

The previous prime is 4411343. The next prime is 4411357. The reversal of 4411344 is 4431144.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4411344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039 + ... + 6729.

It is an arithmetic number, because the mean of its divisors is an integer number (171616).

Almost surely, 2^4411344 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 4411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864640).

4411344 is an abundant number, since it is smaller than the sum of its proper divisors (9317936).

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

4411344 is a wasteful number, since it uses less digits than its factorization.

4411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

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

The square root of 4411344 is about 2100.3199756228. The cubic root of 4411344 is about 164.0049572168.

Adding to 4411344 its reverse (4431144), we get a palindrome (8842488).

It can be divided in two parts, 441 and 1344, that multiplied together give a cube (592704 = 84³).

The spelling of 4411344 in words is "four million, four hundred eleven thousand, three hundred forty-four".