844448400 has 180 divisors, whose sum is σ = 2955144192. Its totient is φ = 223292160.

The previous prime is 844448351. The next prime is 844448453. The reversal of 844448400 is 4844448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 456277 + ... + 458123.

Almost surely, 2^844448400 is an apocalyptic number.

844448400 is a gapful number since it is divisible by the number (80) 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 844448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477572096).

844448400 is an abundant number, since it is smaller than the sum of its proper divisors (2110695792).

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

844448400 is a wasteful number, since it uses less digits than its factorization.

844448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 844448400 is about 29059.3943501925. The cubic root of 844448400 is about 945.2014351814.

The spelling of 844448400 in words is "eight hundred forty-four million, four hundred forty-eight thousand, four hundred".