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frugal n.  and  modest n.

First numbers that belong to both sets:

14063, 98441, 112999, 153333, 182351, 190333, 196882, 210259, 274999, 287777, 289867, 319333, 459999, 638666, 644851, 957999, 1005291, 1274191, 1560303, 1660249, 1700271, 1821313, 1890297, 1892727, 1961617, 2000033, 2329999, 2390303, 2432673, 2520707, 2530909, 2940539, 3015873, 3431029, 4000066, 4000481, 4002079, 4132121, 4680909, 4820723, 5061818, 5100813, 5670891, 5678181, 5759999, 5891881, 6000099, 7298019, 7592727, 8000132, 8025641, 9047619, 9923333, 10000165, 10006993, 10123636, 10179999, 10201626, 10241536, 10242304, 10245632, 10293087, 10293773, 10577777, 10801107, 10841111, 10922121, 10992121, 11251375, 11311111, 11341782, 11521408, 11612727, 11621743, 11783762, 11901897, 11923333, 11951515, 12000198, 12001443, 12006237, 12049933, 12158019, 12303333, 12349999, 12396363, 12415151, 12501875, 12506875, 12603535, 12609999, 12619999, 12654545, 12744851, 12749191, 12808448, 12968181, 13045379, 13232079, 13600813, 13723087, 13875757, 14000231, 14042727, 14214949, 14218787, 14294287, 14354059, 14462169, 14582187, 14582673, 14588019, 14702009, 14702695, 14733333, 15039999, 15079365, 15185454, 15302439, 15362816, 15365632, 15398181, 15826363, 16000264, 16049999, 16051282, 16273333, 16453333, 16472727, 16705511, 16732121, 17000037, 17012187, 17012673, 17155145, 17437777, 17505691, 17644949, 17675643, 17716363, 17922304, 18000297, 18095238, 18643333, 18756875, 18987227, 19593333, 19604851, 19615247, 19639837, 19846666, 20000330, 20002405, 20010395, 20247272, 20258181, 20484608, 20583773, 20867777, 21111111, 21607317, 21872673, 21876561, 21878019, 22000363, 22023333, 22329999, 22622222, 22778181, 23034851, 23042816, 23404545, 23700271, 23762727, 23846666, 24000396, 24010101, 24013087, 24017203, 24076923, 24103615, 24309963, 24406039, 24504949, 24857171, 25005625, 25289999, 25309090, 25504065, 26000429, 26693333, 26883333, 27142857, 27201626, 27389999, 27839999, 28000462, 28003367, 28014553, 28085454, 28354455, 28426199, 28588574, 28600369, 28883249, 29166561, 29168019, 29303333, 29378989, 29459405, 29619999, 29769999, 29894851, 30000495, 30604878, 30700369, 30725632, 30873773, 31153333, 31157777, 31259375, 32000528, 32403321, 32627689, 32766363, 32816369, 33324851, 33745061, 33933333, 34000063, 34000561, 34025346, 34303087, 34838181, 35289898, 35705691, 35769999, 35844608, 36000594, 36406363, 36909999, 37506875, 37579537, 38000627, 39696237, 40000660, 40008547, 40128205, 40802439, 41069999, 41167546, 41654949, 42000693, 42128181, 43746561, 43748019, 43755625, 44000726, 44199999, 45238095, 45244444, 45907317, 46000759, 46085632, 47325577, 47400542, 48000792, 48027203, 49002009, 49259259, 49418181, 50000825, 51000111, 51036561, 51038019, 52000858, 54000891, 54285714, 56000924, 56179487.

Some larger examples :