Max Connections controls the maximum number of keep-alive connections the server maintains. The possible range is zero to 32768, and the default is 256.
Adjust this setting based on number of keep alive connections the server is expected to service and the server’s load, because it will add up to resource utilization and might increase latency.
The number of connections specified by Max Connections is divided equally among the keep alive threads. If Max Connections is not equally divisible by Thread Count, the server can allow slightly more than Max Connections simultaneous keep alive connections.