844494336 has 200 divisors, whose sum is σ = 2881668240. Its totient is φ = 241201152.

The previous prime is 844494323. The next prime is 844494337. The reversal of 844494336 is 633494448.

It is a happy number.

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 = 844494291 and 844494300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844494337) 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 19 ways as a sum of consecutive naturals, for example, 288850 + ... + 291758.

Almost surely, 2^844494336 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 844494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440834120).

844494336 is an abundant number, since it is smaller than the sum of its proper divisors (2037173904).

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

844494336 is an equidigital number, since it uses as much as digits as its factorization.

844494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2921 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 844494336 is about 29060.1847206793. The cubic root of 844494336 is about 945.2185737797.

The spelling of 844494336 in words is "eight hundred forty-four million, four hundred ninety-four thousand, three hundred thirty-six".