44480320 has 56 divisors (see below), whose sum is σ = 107085384. Its totient is φ = 17596416.

The previous prime is 44480297. The next prime is 44480323. The reversal of 44480320 is 2308444.

It can be written as a sum of positive squares in 4 ways, for example, as 9339136 + 35141184 = 3056^2 + 5928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44480323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30324 + ... + 31756.

It is an arithmetic number, because the mean of its divisors is an integer number (1912239).

Almost surely, 2^44480320 is an apocalyptic number.

44480320 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 44480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53542692).

44480320 is an abundant number, since it is smaller than the sum of its proper divisors (62605064).

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

44480320 is a wasteful number, since it uses less digits than its factorization.

44480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 44480320 is about 6669.3567905758. The cubic root of 44480320 is about 354.3148060943.

Adding to 44480320 its reverse (2308444), we get a palindrome (46788764).

The spelling of 44480320 in words is "forty-four million, four hundred eighty thousand, three hundred twenty".