4448890000 has 225 divisors, whose sum is σ = 11661542893. Its totient is φ = 1643488000.

The previous prime is 4448889989. The next prime is 4448890001. The reversal of 4448890000 is 988444.

The square root of 4448890000 is 66700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3327443856 + 1121446144 = 57684^2 + 33488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4448890001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153409986 + ... + 153410014.

Almost surely, 2^4448890000 is an apocalyptic number.

4448890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4448890000 is the 66700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4448890000

4448890000 is an abundant number, since it is smaller than the sum of its proper divisors (7212652893).

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

4448890000 is an equidigital number, since it uses as much as digits as its factorization.

4448890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 59 counting only the distinct ones).

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

The cubic root of 4448890000 is about 1644.6893843542.

Multiplying 4448890000 by its product of nonzero digits (36864), we get a square (164003880960000 = 12806400²).

The spelling of 4448890000 in words is "four billion, four hundred forty-eight million, eight hundred ninety thousand".