844320384 has 192 divisors, whose sum is σ = 2545920000. Its totient is φ = 268240896.

The previous prime is 844320383. The next prime is 844320397. The reversal of 844320384 is 483023448.

844320384 is a `hidden beast` number, since 8 + 443 + 203 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (844320383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4242717 + ... + 4242915.

It is an arithmetic number, because the mean of its divisors is an integer number (13260000).

Almost surely, 2^844320384 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 844320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272960000).

844320384 is an abundant number, since it is smaller than the sum of its proper divisors (1701599616).

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

844320384 is a wasteful number, since it uses less digits than its factorization.

844320384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 844320384 is about 29057.1916055217. The cubic root of 844320384 is about 945.1536694754.

The spelling of 844320384 in words is "eight hundred forty-four million, three hundred twenty thousand, three hundred eighty-four".