Weekly demand for boxes follows a normal distribution with mean $403$ and standard deviation $35.$ Each week, a replenishment order is placed with its supplier and the order arrives $4$ weeks later. All orders that cannot be satisfied immediately due to the lack of boxes are backordered.

Suppose the company decides to establish an order$-$up$-$to level of $400$ boxes. At the start of this week, there are $179$ boxes in inventory and $65$ boxes on order. How many boxes will the company order this week? $($report your answer as an integer$)$