44560 has 20 divisors (see below), whose sum is σ = 103788. Its totient is φ = 17792.

The previous prime is 44549. The next prime is 44563. The reversal of 44560 is 6544.

44560 = T₁₃₁ + T₁₃₂ + ... + T₁₃₅.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 35344 = 96^2 + 188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (44563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199 + ... + 358.

2⁴⁴⁵⁶⁰ is an apocalyptic number.

44560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44560 is an abundant number, since it is smaller than the sum of its proper divisors (59228).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51894).

44560 is a wasteful number, since it uses less digits than its factorization.

44560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 44560 is about 211.0923968313. The cubic root of 44560 is about 35.4526247640.

It can be divided in two parts, 445 and 60, that added together give a palindrome (505).

The spelling of 44560 in words is "forty-four thousand, five hundred sixty".