1. A device search system in which an information processing apparatus connected to a communication network searches for an image forming apparatus, wherein the image forming apparatus comprises: a holding unit configured to hold, when a notification input from a user is received, a notification state indicating the reception of the notification input for a predetermined time period since the reception of the notification input, wherein the notification state is set in response to a depression of a notification button for the notification input; and a search request processing unit configured to transmit, in response to reception of a search request from the information processing apparatus, a search response including an identifier of the image forming apparatus and a name of the image forming apparatus, wherein the name is changed depending on whether or not the notification state is set, and wherein the information processing apparatus comprises a display unit configured to display, when a search response to a search request transmitted to the image forming apparatus is received, a name of an image forming apparatus in a list of image forming apparatuses as a search result based on a name of the image forming apparatus included in the search response, wherein the name of the image forming apparatus displayed by the display unit has been changed according to whether or not the notification state is set.