844445448 has 288 divisors, whose sum is σ = 2932937280. Its totient is φ = 214790400.

The previous prime is 844445447. The next prime is 844445453. The reversal of 844445448 is 844544448.

It is a super-2 number, since 2×844445448² = 1426176229295841408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (844445447) 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 71 ways as a sum of consecutive naturals, for example, 3719911 + ... + 3720137.

It is an arithmetic number, because the mean of its divisors is an integer number (10183810).

Almost surely, 2^844445448 is an apocalyptic number.

844445448 is a gapful number since it is divisible by the number (88) 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 844445448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466468640).

844445448 is an abundant number, since it is smaller than the sum of its proper divisors (2088491832).

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

844445448 is a wasteful number, since it uses less digits than its factorization.

844445448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 45.

The square root of 844445448 is about 29059.3435576236. The cubic root of 844445448 is about 945.2003337768.

The spelling of 844445448 in words is "eight hundred forty-four million, four hundred forty-five thousand, four hundred forty-eight".