10444000 has 96 divisors (see below), whose sum is σ = 29405376. Its totient is φ = 3571200.

The previous prime is 10443997. The next prime is 10444009. The reversal of 10444000 is 44401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27814 + ... + 28186.

It is an arithmetic number, because the mean of its divisors is an integer number (306306).

Almost surely, 2^10444000 is an apocalyptic number.

10444000 is a gapful number since it is divisible by the number (10) 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 10444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702688).

10444000 is an abundant number, since it is smaller than the sum of its proper divisors (18961376).

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

10444000 is an equidigital number, since it uses as much as digits as its factorization.

10444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10444000 is about 3231.7178094629. The cubic root of 10444000 is about 218.5859722741.

Adding to 10444000 its reverse (44401), we get a palindrome (10488401).

The spelling of 10444000 in words is "ten million, four hundred forty-four thousand".