22 × 3 × 5 × 7
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420
No.
Its nearest Fibonacci number neighbors are 377 and 610.