44104500 has 252 divisors, whose sum is σ = 158742948. Its totient is φ = 10692000.

The previous prime is 44104499. The next prime is 44104507. The reversal of 44104500 is 540144.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

44104500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 42693156 = 1188^2 + 6534^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44104507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4009495 + ... + 4009505.

Almost surely, 2^44104500 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 44104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79371474).

44104500 is an abundant number, since it is smaller than the sum of its proper divisors (114638448).

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

44104500 is a wasteful number, since it uses less digits than its factorization.

44104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 44104500 is about 6641.1218931744. The cubic root of 44104500 is about 353.3140984743.

Multiplying 44104500 by its product of nonzero digits (320), we get a square (14113440000 = 118800²).

Adding to 44104500 its reverse (540144), we get a palindrome (44644644).

The spelling of 44104500 in words is "forty-four million, one hundred four thousand, five hundred".