808844448 has 96 divisors (see below), whose sum is σ = 2214184896. Its totient is φ = 258306048.

The previous prime is 808844447. The next prime is 808844471. The reversal of 808844448 is 844448808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 808844397 and 808844406.

It is not an unprimeable number, because it can be changed into a prime (808844447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216936 + ... + 220632.

It is an arithmetic number, because the mean of its divisors is an integer number (23064426).

Almost surely, 2^808844448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808844448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107092448).

808844448 is an abundant number, since it is smaller than the sum of its proper divisors (1405340448).

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

808844448 is a wasteful number, since it uses less digits than its factorization.

808844448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 808844448 is about 28440.1907166601. The cubic root of 808844448 is about 931.7262607324.

The spelling of 808844448 in words is "eight hundred eight million, eight hundred forty-four thousand, four hundred forty-eight".