Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_62 ( enrollment INTEGER, founded VARCHAR, location VARCHAR, affiliation VARCHAR )

### Question ###
What's the total enrollment of public schools located in Buffalo, New York that were founded after 1846?

### Accurate SQL ###

SELECT SUM(enrollment) FROM table_name_62 WHERE location = "buffalo, new york" AND affiliation = "public" AND founded > 1846