4449200448 has 224 divisors, whose sum is σ = 14746272768. Its totient is φ = 1150156800.

The previous prime is 4449200429. The next prime is 4449200453. The reversal of 4449200448 is 8440029444.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3798903 + ... + 3800073.

Almost surely, 2^4449200448 is an apocalyptic number.

4449200448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4449200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373136384).

4449200448 is an abundant number, since it is smaller than the sum of its proper divisors (10297072320).

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

4449200448 is a wasteful number, since it uses less digits than its factorization.

4449200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4449200448 is about 66702.3271558047. The cubic root of 4449200448 is about 1644.7276394885.

The spelling of 4449200448 in words is "four billion, four hundred forty-nine million, two hundred thousand, four hundred forty-eight".