44320 has 24 divisors (see below), whose sum is σ = 105084. Its totient is φ = 17664.

The previous prime is 44293. The next prime is 44351. The reversal of 44320 is 2344.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 2704 = 204^2 + 52^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 298.

2⁴⁴³²⁰ is an apocalyptic number.

44320 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 44320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52542).

44320 is an abundant number, since it is smaller than the sum of its proper divisors (60764).

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

44320 is a wasteful number, since it uses less digits than its factorization.

44320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 44320 is about 210.5231578711. The cubic root of 44320 is about 35.3888609127.

Adding to 44320 its reverse (2344), we get a palindrome (46664).

The spelling of 44320 in words is "forty-four thousand, three hundred twenty", and thus it is an iban number.