844388352 has 144 divisors (see below), whose sum is σ = 2482028640. Its totient is φ = 276480000.

The previous prime is 844388341. The next prime is 844388357. The reversal of 844388352 is 253883448.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 844388298 and 844388307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844388357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123977 + ... + 1124727.

It is an arithmetic number, because the mean of its divisors is an integer number (17236310).

Almost surely, 2^844388352 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 844388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241014320).

844388352 is an abundant number, since it is smaller than the sum of its proper divisors (1637640288).

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

844388352 is a wasteful number, since it uses less digits than its factorization.

844388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 817 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 844388352 is about 29058.3611375452. The cubic root of 844388352 is about 945.1790304964.

The spelling of 844388352 in words is "eight hundred forty-four million, three hundred eighty-eight thousand, three hundred fifty-two".