A pulverizing and coarse powder classifying apparatus including: a mechanical pulverizer that pulverizes a powder raw material, a cyclone that collects pulverized powder, and a coarse powder classifier that separates coarse powder from the collected powder, wherein the coarse powder classifier is a cyclone classifier including a dispersion chamber equipped with a center core and used for dispersing the powder, and a classification chamber equipped with a separator core, and wherein the center core has at its center a fine powder discharge pipe.