18444500 has 48 divisors (see below), whose sum is σ = 41413008. Its totient is φ = 7171200.

The previous prime is 18444469. The next prime is 18444511. The reversal of 18444500 is 544481.

It can be written as a sum of positive squares in 8 ways, for example, as 568516 + 17875984 = 754^2 + 4228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18444500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18002 + ... + 18998.

It is an arithmetic number, because the mean of its divisors is an integer number (862771).

Almost surely, 2^18444500 is an apocalyptic number.

18444500 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 18444500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706504).

18444500 is an abundant number, since it is smaller than the sum of its proper divisors (22968508).

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

18444500 is a wasteful number, since it uses less digits than its factorization.

18444500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 18444500 is about 4294.7060434912. The cubic root of 18444500 is about 264.2138800908.

Adding to 18444500 its reverse (544481), we get a palindrome (18988981).

The spelling of 18444500 in words is "eighteen million, four hundred forty-four thousand, five hundred".