The limited edition bundle ($450) comes with a copy of the game and steel-grey system featuring an Arkham Knight faceplate. The bundle also packs in a matching steel-grey DualShock 4.
In addition to this, Sony will offer another Arkham Knight PS4 bundle that comes with a regular black console (and matching DualShock 4 controller) and a copy of the game for $400.
Sony also announced Tuesday that Arkham Knight bonus content, such as additional missions and custom skins for Batman and the Batmobile, will be available first on PS4. This content will be available when the game launches in late June. It's unclear when it will be made available for Xbox One and PC.
Finally, Sony revealed that digital preorders for Arkham Knight are going live today on the PlayStation Store. The special edition Arkham Knight hardware bundles, meanwhile, are available to preorder here.