844400 has 30 divisors (see below), whose sum is σ = 2029632. Its totient is φ = 337600.

The previous prime is 844369. The next prime is 844421. The reversal of 844400 is 4448.

It is a super-2 number, since 2×844400² = 1426022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 844400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656 + ... + 1455.

2⁸⁴⁴⁴⁰⁰ is an apocalyptic number.

844400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

844400 is an abundant number, since it is smaller than the sum of its proper divisors (1185232).

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

844400 is a wasteful number, since it uses less digits than its factorization.

844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 844400 is about 918.9124006128. The cubic root of 844400 is about 94.5183376599.

Adding to 844400 its reverse (4448), we get a palindrome (848848).

The spelling of 844400 in words is "eight hundred forty-four thousand, four hundred".