44424320 has 64 divisors (see below), whose sum is σ = 108856440. Its totient is φ = 17326080.

The previous prime is 44424319. The next prime is 44424323. The reversal of 44424320 is 2342444.

It can be written as a sum of positive squares in 4 ways, for example, as 21307456 + 23116864 = 4616^2 + 4808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (44424323) 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 7 ways as a sum of consecutive naturals, for example, 25394 + ... + 27086.

Almost surely, 2^44424320 is an apocalyptic number.

44424320 is a gapful number since it is divisible by the number (40) 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 44424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54428220).

44424320 is an abundant number, since it is smaller than the sum of its proper divisors (64432120).

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

44424320 is a wasteful number, since it uses less digits than its factorization.

44424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 44424320 is about 6665.1571624381. The cubic root of 44424320 is about 354.1660514561.

Adding to 44424320 its reverse (2342444), we get a palindrome (46766764).

It can be divided in two parts, 44424 and 320, that added together give a palindrome (44744).

The spelling of 44424320 in words is "forty-four million, four hundred twenty-four thousand, three hundred twenty".