844409841 has 16 divisors (see below), whose sum is σ = 1229921280. Its totient is φ = 511059920.

The previous prime is 844409827. The next prime is 844409843. The reversal of 844409841 is 148904448.

It is a cyclic number.

It is not a de Polignac number, because 844409841 - 2¹⁵ = 844377073 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 844409793 and 844409802.

It is not an unprimeable number, because it can be changed into a prime (844409843) 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, 7300 + ... + 41738.

It is an arithmetic number, because the mean of its divisors is an integer number (76870080).

Almost surely, 2^844409841 is an apocalyptic number.

It is an amenable number.

844409841 is a deficient number, since it is larger than the sum of its proper divisors (385511439).

844409841 is a wasteful number, since it uses less digits than its factorization.

844409841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35196.

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 844409841 is about 29058.7308910764. The cubic root of 844409841 is about 945.1870484421.

The spelling of 844409841 in words is "eight hundred forty-four million, four hundred nine thousand, eight hundred forty-one".