44516500 has 144 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 14414400.

The previous prime is 44516443. The next prime is 44516509. The reversal of 44516500 is 561544.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44516509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563461 + ... + 563539.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 2^44516500 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 44516500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

44516500 is an abundant number, since it is smaller than the sum of its proper divisors (74991980).

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

44516500 is a wasteful number, since it uses less digits than its factorization.

44516500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 44516500 is about 6672.0686447308. The cubic root of 44516500 is about 354.4108458380.

The spelling of 44516500 in words is "forty-four million, five hundred sixteen thousand, five hundred".