844405 has 8 divisors (see below), whose sum is σ = 1018584. Its totient is φ = 672000.

The previous prime is 844369. The next prime is 844421. The reversal of 844405 is 504448.

It can be written as a sum of positive squares in 4 ways, for example, as 268324 + 576081 = 518^2 + 759^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 844405 - 2¹⁵ = 811637 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 844405.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1105 + ... + 1705.

It is an arithmetic number, because the mean of its divisors is an integer number (127323).

2⁸⁴⁴⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

844405 is a deficient number, since it is larger than the sum of its proper divisors (174179).

844405 is a wasteful number, since it uses less digits than its factorization.

844405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887.

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 844405 is about 918.9151212163. The cubic root of 844405 is about 94.5185242187.

It can be divided in two parts, 84 and 4405, that added together give a square (4489 = 67²).

The spelling of 844405 in words is "eight hundred forty-four thousand, four hundred five".