44564480 has 80 divisors (see below), whose sum is σ = 113246100. Its totient is φ = 16777216.

The previous prime is 44564461. The next prime is 44564489. The reversal of 44564480 is 8446544.

It can be written as a sum of positive squares in 2 ways, for example, as 44302336 + 262144 = 6656^2 + 512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 44564480.

It is not an unprimeable number, because it can be changed into a prime (44564489) by changing a digit.

In principle, a polygon with 44564480 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2621432 + ... + 2621448.

Almost surely, 2^44564480 is an apocalyptic number.

44564480 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 44564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56623050).

44564480 is an abundant number, since it is smaller than the sum of its proper divisors (68681620).

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

44564480 is an frugal number, since it uses more digits than its factorization.

44564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 44564480 is about 6675.6632629275. The cubic root of 44564480 is about 354.5381284323.

The spelling of 44564480 in words is "forty-four million, five hundred sixty-four thousand, four hundred eighty".