44488900 has 81 divisors (see below), whose sum is σ = 104520871. Its totient is φ = 16434880.

The previous prime is 44488883. The next prime is 44488903. The reversal of 44488900 is 988444.

44488900 = 1³ + 2³ + ... + 115³.

The square root of 44488900 is 6670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 611524 + 43877376 = 782^2 + 6624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 44488900.

It is not an unprimeable number, because it can be changed into a prime (44488903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1534086 + ... + 1534114.

Almost surely, 2^44488900 is an apocalyptic number.

44488900 is the 6670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44488900

44488900 is an abundant number, since it is smaller than the sum of its proper divisors (60031971).

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

44488900 is a wasteful number, since it uses less digits than its factorization.

44488900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The cubic root of 44488900 is about 354.3375863980.

Multiplying 44488900 by its product of nonzero digits (36864), we get a square (1640038809600 = 1280640²).

The spelling of 44488900 in words is "forty-four million, four hundred eighty-eight thousand, nine hundred".