844284 has 72 divisors (see below), whose sum is σ = 2477440. Its totient is φ = 218592.

The previous prime is 844279. The next prime is 844289. The reversal of 844284 is 482448.

It is an interprime number because it is at equal distance from previous prime (844279) and next prime (844289).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36697 + ... + 36719.

2⁸⁴⁴²⁸⁴ is an apocalyptic number.

844284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238720).

844284 is an abundant number, since it is smaller than the sum of its proper divisors (1633156).

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

844284 is a wasteful number, since it uses less digits than its factorization.

844284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 844284 is about 918.8492803502. The cubic root of 844284 is about 94.5140092889.

It can be divided in two parts, 844 and 284, that added together give a triangular number (1128 = T₄₇).

The spelling of 844284 in words is "eight hundred forty-four thousand, two hundred eighty-four".