44089600 has 81 divisors (see below), whose sum is σ = 110459293. Its totient is φ = 17423360.

The previous prime is 44089523. The next prime is 44089627. The reversal of 44089600 is 698044.

The square root of 44089600 is 6640.

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

It can be written as a sum of positive squares in only one way, i.e., 15872256 + 28217344 = 3984^2 + 5312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 531159 + ... + 531241.

Almost surely, 2^44089600 is an apocalyptic number.

44089600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44089600 is the 6640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44089600

44089600 is an abundant number, since it is smaller than the sum of its proper divisors (66369693).

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

44089600 is an frugal number, since it uses more digits than its factorization.

44089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 44089600 is about 353.2743068203.

The spelling of 44089600 in words is "forty-four million, eighty-nine thousand, six hundred".