Changing prefix?

Is it sufficient to change the names of all the tables in the mySQL database and the prefix in the config.php file or do I have to do something else?

Example of the query I'm thinking of:

RENAME TABLE bans TO punBB_forum,
categories TO punBB_categories,
censoring TO punBB_censoring,
forums TO punBB_forums,
online TO punBB_online,
options TO punBB_options,
permissions TO punBB_permissions,
posts TO punBB_posts,
ranks TO punBB_ranks,
reports TO punBB_reports,
search_matches TO punBB_search_matches,
search_results TO punBB_search_results,
search_words TO punBB_search_words,
topics TO punBB_topics,
users TO punBB_users;