No, the placenta (afterbirth) is not radioactive. It is medical waste and potentially infectious to humans if not contained and properly destroyed.
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In some cultures, women believe that it is healthy and natural to cook and eat their placenta, a practice known as placentophagy. In China and Hong Kong, placentas are used in health products and medicine. In other cultures it is believed that interaction with the disposed placenta can positively affect the parents' future fertility (Japan, Transylvania). The Nigerian Ibo Tribe view the placenta as the dead twin of the new-born baby, and conduct full funeral rites for it.