44320000 has 90 divisors (see below), whose sum is σ = 110947298. Its totient is φ = 17664000.

The previous prime is 44319997. The next prime is 44320007. The reversal of 44320000 is 2344.

It can be written as a sum of positive squares in 5 ways, for example, as 25240576 + 19079424 = 5024^2 + 4368^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44320007) by changing a digit.

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 in 9 ways as a sum of consecutive naturals, for example, 159862 + ... + 160138.

Almost surely, 2^44320000 is an apocalyptic number.

44320000 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 44320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473649).

44320000 is an abundant number, since it is smaller than the sum of its proper divisors (66627298).

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

44320000 is an frugal number, since it uses more digits than its factorization.

44320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

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

The square root of 44320000 is about 6657.3267908373. The cubic root of 44320000 is about 353.8886091272. Note that the first 3 decimals are identical.

Adding to 44320000 its reverse (2344), we get a palindrome (44322344).

The spelling of 44320000 in words is "forty-four million, three hundred twenty thousand".