18445200 has 120 divisors (see below), whose sum is σ = 62272800. Its totient is φ = 4654080.

The previous prime is 18445183. The next prime is 18445201. The reversal of 18445200 is 254481.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (18445201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22396 + ... + 23204.

It is an arithmetic number, because the mean of its divisors is an integer number (518940).

Almost surely, 2^18445200 is an apocalyptic number.

18445200 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 18445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31136400).

18445200 is an abundant number, since it is smaller than the sum of its proper divisors (43827600).

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

18445200 is a wasteful number, since it uses less digits than its factorization.

18445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 18445200 is about 4294.7875384005. The cubic root of 18445200 is about 264.2172225032.

Adding to 18445200 its reverse (254481), we get a palindrome (18699681).

The spelling of 18445200 in words is "eighteen million, four hundred forty-five thousand, two hundred".