8444000 has 48 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 3376000.

The previous prime is 8443993. The next prime is 8444003. The reversal of 8444000 is 4448.

It is a super-2 number, since 2×8444000² = 142602272000000, 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 not an unprimeable number, because it can be changed into a prime (8444003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2945 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 2^8444000 is an apocalyptic number.

8444000 is a gapful number since it is divisible by the number (80) 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 8444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

8444000 is an abundant number, since it is smaller than the sum of its proper divisors (12312736).

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

8444000 is a wasteful number, since it uses less digits than its factorization.

8444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2118 counting only the distinct ones).

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

The square root of 8444000 is about 2905.8561561096. The cubic root of 8444000 is about 203.6335854986.

Adding to 8444000 its reverse (4448), we get a palindrome (8448448).

The spelling of 8444000 in words is "eight million, four hundred forty-four thousand".