There are multiple synonyms for the term "castrated man." One commonly used phrase is eunuch, which refers to a male who has been castrated, typically before puberty. Another term is gelding, which usually is used to describe a male horse that has been neutered but also can refer to a human male castrate. Other words that could be used to describe a castrated man include neutered, emasculated, and orchidectomized. However, it should be noted that all of these terms could be considered offensive or insensitive when used in reference to an individual, so it is essential to use proper language and consider the feelings of others when discussing such topics.