844458048 has 168 divisors, whose sum is σ = 2869094592. Its totient is φ = 241242624.

The previous prime is 844458007. The next prime is 844458049. The reversal of 844458048 is 840854448.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 844457994 and 844458012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844458049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104986 + ... + 112742.

It is an arithmetic number, because the mean of its divisors is an integer number (17077944).

Almost surely, 2^844458048 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 844458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434547296).

844458048 is an abundant number, since it is smaller than the sum of its proper divisors (2024636544).

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

844458048 is an equidigital number, since it uses as much as digits as its factorization.

844458048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 844458048 is about 29059.5603545546. The cubic root of 844458048 is about 945.2050348758.

The spelling of 844458048 in words is "eight hundred forty-four million, four hundred fifty-eight thousand, forty-eight".