844458021 has 64 divisors (see below), whose sum is σ = 1444608000. Its totient is φ = 482163840.

The previous prime is 844458007. The next prime is 844458049. The reversal of 844458021 is 120854448.

It is not a de Polignac number, because 844458021 - 2²³ = 836069413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844458061) 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 63 ways as a sum of consecutive naturals, for example, 1483825 + ... + 1484393.

It is an arithmetic number, because the mean of its divisors is an integer number (22572000).

Almost surely, 2^844458021 is an apocalyptic number.

It is an amenable number.

844458021 is a deficient number, since it is larger than the sum of its proper divisors (600149979).

844458021 is a wasteful number, since it uses less digits than its factorization.

844458021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 844458021 is about 29059.5598899915. The cubic root of 844458021 is about 945.2050248021.

The spelling of 844458021 in words is "eight hundred forty-four million, four hundred fifty-eight thousand, twenty-one".