844416 has 48 divisors (see below), whose sum is σ = 2433210. Its totient is φ = 281088.

The previous prime is 844369. The next prime is 844421. The reversal of 844416 is 614448.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 360000 = 696^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×844416³ = 1806303052733349888, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 844416.

It is an unprimeable number.

844416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 786 + ... + 1518.

2⁸⁴⁴⁴¹⁶ 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 844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216605).

844416 is an abundant number, since it is smaller than the sum of its proper divisors (1588794).

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

844416 is a wasteful number, since it uses less digits than its factorization.

844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 844416 is about 918.9211065157. The cubic root of 844416 is about 94.5189346454.

The spelling of 844416 in words is "eight hundred forty-four thousand, four hundred sixteen".