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modest n.  and  tau n.

First numbers that belong to both sets:

444, 824, 872, 1236, 1644, 1688, 2488, 2844, 3272, 4044, 4072, 5672, 5688, 6472, 6488, 7288, 8072, 12108, 16024, 16216, 16888, 24036, 24296, 24324, 24444, 32148, 32216, 32888, 36108, 36324, 36444, 36972, 40072, 48296, 48324, 56148, 56216, 60108, 60444, 64072, 64888, 72108, 72444, 72648, 72972, 80072, 80148, 80240, 80296, 80720, 80792, 80888, 82424, 84324, 87272, 88216, 96108, 96288, 96296, 96864, 104148, 104296, 116148, 120108, 120132, 120444, 121188, 123636, 128384, 128888, 132324, 132444, 136216, 140148, 144216, 144324, 144444, 144648, 144972, 152296, 156444, 160044, 160088, 160240, 160404, 160808, 168444, 176216, 176296, 176888, 180324, 180972, 184216, 192288, 200296, 200888, 204324, 208888, 224888, 228444, 240088, 240132, 240444, 240720, 241212, 252324, 252972, 256384, 264296, 264324, 264444, 276324, 276444, 280404, 280888, 288296, 288324, 288864, 288972, 300444, 320072, 320352, 320720, 320792, 320888, 323232, 336888, 348444, 352888, 360108, 360132, 360324, 360540, 360648, 360972, 361188, 363564, 376888, 384444, 384864, 396444, 396972, 400164, 400264, 400720, 400808, 400888, 407272, 432444, 464888, 468972, 480108, 480132, 480720, 480808, 480864, 480888, 481188, 481212, 504756, 520888, 544888, 560072, 560720, 560792, 560808, 560888, 564444, 576648, 576864, 600396, 601212, 612972, 632888, 640192, 640404, 640720, 640888, 646464, 647272, 672864, 684444, 684972, 688888, 696888, 720088, 720108, 720396, 720648, 720972, 721212, 723564, 723636, 727128, 736888, 752888, 760404, 760888, 768864, 792972, 800024, 800240, 800720, 800880, 802168, 802640, 807920, 808888, 828972, 840108, 841188, 872888, 887272, 900972, 924444, 936972, 960264, 960288, 960864, 961056, 962424, 963168, 969504, 969696, 1040792, 1042424, 1044444, 1048888, 1080132, 1080396, 1083636, 1127272, 1128888, 1200036, 1200492, 1201212, 1203252, 1280264, 1280352, 1280384, 1280808, 1281152, 1281408, 1283232, 1284224, 1360792, 1360808, 1402020, 1404444, 1440324, 1440792, 1443564, 1447272, 1524444, 1527272, 1561188, 1561212, 1563636, 1600024, 1600072, 1600164, 1600240, 1600264, 1600328, 1600720, 1600880, 1601760, 1602640, 1607272, 1607920, 1608080, 1644444, 1680808, 1720404, 1800324, 1800396, 1801188, 1801620, 1803636, 1840808.

Some larger examples :