44500 has 24 divisors (see below), whose sum is σ = 98280. Its totient is φ = 17600.

The previous prime is 44497. The next prime is 44501. The reversal of 44500 is 544.

44500 = 31² + 32² + ... + 54².

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 38416 = 78^2 + 196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44501) 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, 456 + ... + 544.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁴⁴⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

44500 is an abundant number, since it is smaller than the sum of its proper divisors (53780).

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

44500 is a wasteful number, since it uses less digits than its factorization.

44500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 44500 is about 210.9502310973. The cubic root of 44500 is about 35.4367053075.

Subtracting from 44500 its reverse (544), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 44500 in words is "forty-four thousand, five hundred".