We argue that a sterile neutrino of mass around 50 MeV slightly mixed with the muon flavor may be the origin of the MiniBooNE anomaly, and we study its implications at MicroBooNE (that starts taking data this year). We also show that the production of this neutrino in the atmosphere would imply an excess of TeV-PeV contained showers at IceCube from down-going and near-horizontal directions, together with other topologies difficult to explain with standard particles. In summary, there seems to be some room in neutrino physics for serious departures from the three-family picture.