44520 has 64 divisors (see below), whose sum is σ = 155520. Its totient is φ = 9984.

The previous prime is 44519. The next prime is 44531. The reversal of 44520 is 2544.

It is a Cunningham number, because it is equal to 211²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2⁴⁴⁵²⁰ is an apocalyptic number.

44520 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 44520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

44520 is an abundant number, since it is smaller than the sum of its proper divisors (111000).

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

44520 is a wasteful number, since it uses less digits than its factorization.

44520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 44520 is about 210.9976303184. The cubic root of 44520 is about 35.4420133821.

It can be divided in two parts, 445 and 20, that added together give a triangular number (465 = T₃₀).

The spelling of 44520 in words is "forty-four thousand, five hundred twenty".