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happy n.  and  pandigital

First numbers that belong to both sets:

19, 694, 970, 1366, 1478, 1670, 1758, 2542, 2582, 2586, 2910, 2930, 8600, 8630, 8990, 10575, 11220, 11415, 11580, 11595, 11770, 11840, 12770, 12900, 13530, 13575, 14115, 15195, 15210, 16795, 17025, 17055, 17735, 17850, 18075, 20485, 20545, 21090, 21150, 21565, 21570, 21835, 22165, 22275, 22705, 23830, 24295, 24505, 25240, 25505, 25680, 25720, 25860, 26125, 26285, 26815, 26825, 26850, 27025, 27150, 28615, 29010, 29630, 29890, 30100, 30680, 32275, 32600, 33015, 33065, 33080, 33150, 33230, 33895, 33935, 34525, 35060, 35310, 35455, 36080, 37890, 38125, 39230, 39260, 39465, 39680, 39835, 39860, 40275, 40635, 40900, 41115, 41625, 42345, 42355, 42375, 42850, 42925, 44180, 44355, 44505, 44535, 44550, 124011, 124113, 124407, 126369, 126699, 129093, 129159, 129447, 129495, 130581, 130815, 130899, 131169, 131835, 132921, 133215, 133221, 133551, 153171, 153507, 153597, 158799, 159879, 160227, 161139, 162627, 162963, 163191, 164793, 164937, 165351, 165477, 165855, 165891, 166929, 166947, 167223, 169089, 169581, 170025, 173115, 173151, 174495, 174885, 174963, 175131, 177987, 178005, 180315, 180399, 181083, 181467, 182343, 182739, 183201, 185835, 185853, 186195, 186909, 197595, 197955, 198957, 200121, 200151, 200331, 200571, 201015, 201021, 201099, 203181, 203199, 203247, 203919, 206805, 208011, 208047, 208575, 209019, 209127, 209211, 209619, 209775, 210279, 210303, 210399, 211143, 211413, 211431, 211599, 212001, 212019, 213363, 213465, 216267, 217623, 219447, 219783, 219987, 219999, 220131, 223473, 223515, 224361, 224703, 225207, 225927, 225957, 226413, 226611, 228231, 229257, 230661, 231213, 231357, 231627, 231735, 231885, 231987, 238965, 238971, 239019, 239637, 243081, 244179, 244203, 244791, 245433, 246027, 246261, 246777, 247035, 249519, 250227, 251007, 251235, 251331, 251499, 253371, 253461, 253467, 254043, 254061, 254343, 254433, 259545, 260721, 261261, 261345, 261405, 261615, 261639, 262029, 263451, 263721, 263739, 263793, 264015, 264351, 265341, 265437, 266193, 266199, 266319, 266781, 267771, 286341, 286395, 287517, 289533, 289791, 290211, 290217, 295419, 295707, 297633, 297819, 298365.

Some larger examples :