Hi, Farrakhan does not mean ugly one in Arabic. Try looking it up on muslim names.com
I do not know what the name Farrakhan means. What I do know is that both of you (Debossman & Goc) cannot be correct. Although, different references might have different meanings of the name. I think the best way to find out what the name Farrakhan means is to ask him. I'm sure that he can tell you.
It means charmer
I think that it is a adaption (in Arabic) of the Persian name Farrokhan. 'Charming' might be one of the meanings but more correctly it means, something like "resplendid face", "the one whos fortune shines on his being".
Debossman is ignorant."Farra" means fire and "Khan" means leader.Farrakhan means "fire leader"
It means Ugly One, in Arabic.