An electric or hybrid rideable saddle vehicle (1), comprising: - a rechargeable battery (30) which extends between a bottom portion (31) and a head portion (32); - an electric or hybrid traction motor (8) which can be supplied by the rechargeable battery (30) to deliver a traction torque; - a storage container (20). The storage container (20) comprises: - a first housing seat (S1) which at least partially houses the rechargeable battery (30) so that the rechargeable battery (30) can be inserted into, and removed from, the first housing seat (S1); - a second housing seat (S2A, S2B) adapted and configured to house at least one helmet (50), having a first portion (S2A) and a second portion (S2B); wherein: - the second portion (S2B) is arranged below the first portion (S2A) and adjacent to the first housing seat (S1); - when the rechargeable battery (30) is inserted into the first housing seat (S1), the head portion (32) of the rechargeable battery (30) partially occupies the second housing seat (S2A, S2B), leaving the first portion (S2A) partially free and the second portion (S2B) totally free.