844484448 has 48 divisors (see below), whose sum is σ = 2276694000. Its totient is φ = 273885696.

The previous prime is 844484441. The next prime is 844484479.

844484448 is nontrivially palindromic in base 10.

844484448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 844484397 and 844484406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844484441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115323 + ... + 122426.

It is an arithmetic number, because the mean of its divisors is an integer number (47431125).

Almost surely, 2^844484448 is an apocalyptic number.

It is an amenable number.

844484448 is an abundant number, since it is smaller than the sum of its proper divisors (1432209552).

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

844484448 is a wasteful number, since it uses less digits than its factorization.

844484448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237799 (or 237791 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 48.

The square root of 844484448 is about 29060.0145904987. The cubic root of 844484448 is about 945.2148846459.

Multiplying 844484448 by its sum of digits (48), we get a palindrome (40535253504).

The spelling of 844484448 in words is "eight hundred forty-four million, four hundred eighty-four thousand, four hundred forty-eight".