The following commands can be used to swap the names of two MySQL databases (<db1> and <db2>):
mysqladmin -uroot -p<password> create swaptemp
mysqldump -uroot -p<password> --routines <db1> | mysql -uroot -p<password> swaptemp
mysqladmin -uroot -p<password> drop <db1>
mysqladmin -uroot -p<password> create <db1>
mysqldump -uroot -p<password> --routines <db2> | mysql -uroot -p<password> <db1>
mysqladmin -uroot -p<password> drop <db2>
mysqladmin -uroot -p<password> create <db2>
mysqldump -uroot -p<password> --routines swaptemp | mysql -uroot -p<password> <db2>
mysqladmin -uroot -p<password> drop swaptemp
Steps:
<db1>, <db2> and <password> (+ optionally root to use a different user) with the relevant values.