F9 4409 then WN 586 at Atlanta
Washington → Atlanta → Washington National
Timetable, Atlanta time
23:13F9 4409 from Washington at the gate
13:55WN 586 to Washington National leaves the gate
14 h 42 apart on the timetable, overnight
WN 586 leaves 14 h 42 after F9 4409 arrives on the timetable: more than half a day, so not a connection we count.