44008900 has 72 divisors (see below), whose sum is σ = 104203400. Its totient is φ = 16035840.

The previous prime is 44008897. The next prime is 44008901. The reversal of 44008900 is 980044.

44008900 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 12 ways, for example, as 15429184 + 28579716 = 3928^2 + 5346^2 .

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

It is not an unprimeable number, because it can be changed into a prime (44008901) 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 23 ways as a sum of consecutive naturals, for example, 125926 + ... + 126274.

Almost surely, 2^44008900 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 44008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101700).

44008900 is an abundant number, since it is smaller than the sum of its proper divisors (60194500).

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

44008900 is a wasteful number, since it uses less digits than its factorization.

44008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 44008900 is about 6633.9204095316. The cubic root of 44008900 is about 353.0586350341.

Adding to 44008900 its reverse (980044), we get a palindrome (44988944).

The spelling of 44008900 in words is "forty-four million, eight thousand, nine hundred".