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hoax n.  and  practical n.

First numbers that belong to both sets:

84, 160, 234, 308, 336, 364, 456, 476, 644, 660, 690, 702, 860, 1116, 1148, 1312, 1344, 1404, 1484, 1600, 1650, 1824, 2064, 2106, 2232, 2352, 2500, 2640, 2760, 2960, 3036, 3042, 3344, 3552, 3618, 3630, 3712, 3792, 3920, 4116, 4160, 4212, 4590, 4656, 4770, 4824, 4920, 4980, 5022, 5168, 5412, 5742, 5840, 5874, 6016, 6060, 6390, 6500, 6512, 6600, 6900, 6960, 7008, 7038, 7062, 7236, 7650, 8600, 8720, 8816, 8932, 9180, 9306, 9540, 9630, 9940, 10044, 10192, 10240, 10464, 10560, 10624, 10780, 10854, 10948, 11124, 11232, 11484, 11712, 12144, 12192, 12464, 12546, 12558, 12780, 12880, 12972, 13328, 13520, 13560, 13616, 13770, 13780, 14076, 14144, 14208, 14268, 14288, 14472, 14476, 14480, 14484, 14520, 14980, 15150, 15168, 15500, 15720, 16000, 16434, 16500, 16770, 17168, 17226, 17250, 17556, 17880, 17936, 18018, 18032, 18360, 18460, 18564, 18612, 18624, 19080, 19170, 19176, 19260, 19516, 19920, 20844, 20944, 20970, 21504, 21584, 21708, 21828, 21942, 22144, 22352, 22386, 22518, 22608, 22632, 22736, 22908, 22950, 22960, 23496, 23790, 23850, 23920, 24128, 24240, 24304, 24480, 24640, 24732, 25000, 25092, 25434, 25560, 25564, 25950, 26400, 26980, 27126, 27540, 27600, 27820, 27840, 28032, 28152, 28182, 28620, 28650, 28680, 28860, 29008, 29600, 30056, 30132, 30464, 30704, 30750, 31108, 31266, 31548, 31740, 31746, 31950, 32144, 32528, 32562, 32568, 32860, 32880, 33024, 33124, 33712, 33864, 33872, 33900, 33912, 33924, 34048, 34112, 34188, 34254, 34352, 34452, 34544, 34960, 35490, 36036, 36270, 36300, 36498, 36720, 36846, 37224, 37320, 37812, 38160, 38250, 38332, 38340, 38500, 38520, 39104, 39200, 39300, 39324, 39368, 39450, 40086, 40752, 41052, 41208, 41216, 41250, 41552, 41600, 41648, 41940, 42196, 42228, 42240, 42640, 42834, 42930, 42978, 43248, 43416, 43680, 44160, 44268, 44336, 44408, 44480, 44600, 45036, 45180, 45216, 45296, 45570, 45580, 45594, 45724.

Some larger examples :