The purpose of this study is to determine if treatment with apalutamide plus androgen deprivation therapy (ADT) before and after radical prostatectomy (RP) with pelvic lymph node dissection (pLND) in participants with high-risk localized or locally advanced prostate cancer results in an improvement in pathological complete response (pCR) rate and metastasis-free survival (MFS) as compared to placebo plus ADT.