For the meaning of Affan, please see: Affan
The most famous person with the name Affan was the father of Uthman. Uthman was the third Rashid caliph and a close companion of the Prophet, peace and blessings of Allah upon him and his companions, who married two of the Prophet's daughters. The father of Uthman, whose name was Affan, seems to have died before Islam.
Additionally, there are many companions of the Prophet whose first name is Affan, such as Affan bin Bujair, Affan bin Abi Ufair, Affan bin Habeeb, Affan bin Muslim bin Abdullah, Affan bin Nubaih.