First numbers that belong to both sets:
625,
736,
1827,
2349,
2592,
4096,
10521,
11259,
12060,
12104,
12108,
12544,
12550,
12595,
13545,
13689,
14175,
15495,
15613,
15624,
15635,
15642,
15645,
15655,
16375,
16479,
16875,
17346,
17368,
17437,
18522,
19684,
19692,
21606,
21952,
24385,
25137,
25725,
26364,
27639,
28224,
28554,
28678,
29160,
29529,
29584,
31256,
31347,
32775,
32781,
32786,
32832,
32836,
33579,
34425,
35928,
35942,
36864,
37875,
38856,
39342,
39363,
39369,
39372,
39456,
39945,
44977,
45369,
45684,
45760,
46626,
46641,
46646,
46656,
46684,
47538,
48754,
48759,
54369,
57645,
58973,
59052,
59058,
62504,
63904,
65488,
65841,
67254,
67950,
69975,
74183,
77459,
78165,
81648,
86724,
91854,
95232,
98325,
98415,
102051,
102382,
102528,
102912,
102942,
103684,
103968,
104375,
104925,
104979,
105021,
106929,
108135,
111536,
111630,
114244,
114684,
116725,
116928,
117567,
117574,
117597,
117651,
117665,
117729,
117754,
117768,
119682,
124483,
124542,
124965,
125010,
125023,
125041,
125058,
125078,
125097,
125950,
126027,
126736,
127435,
127450,
127587,
127680,
128455,
128673,
129600,
129642,
130942,
131250,
132495,
132568,
132615,
132654,
132715,
132854,
133956,
134457,
134584,
134673,
134783,
135429,
135432,
136752,
136854,
137628,
137679,
137718,
137774,
137784,
137797,
137815,
138240,
139896,
139968,
141384,
142805,
144768,
145652,
146335,
146412,
146520,
146758,
147384,
147394,
147399,
147469,
148716,
149396,
150300,
150435,
151250,
151263,
151296,
152460,
152608,
153790,
154336,
155850,
156235,
156247,
156255,
156258,
156264,
159375,
161025,
161050,
161056,
162720,
163217,
163844,
165495,
165894,
166668,
169464,
172386,
172547,
172773,
173664,
174762,
174825,
175632,
176925,
177149,
178560,
179275,
179475,
182784,
183624,
184335,
185935,
186516,
186624,
186648,
186684,
186704,
187136,
187230,
189435,
192375,
192717,
193914,
193968,
194481,
194823,
195112,
195315,
196488,
196581,
196662,
196745,
196824,
196845,
197340,
197370,
197432,
197664,
198024,
198450,
199563,
204800,
205419,
206486,
207936,
209854,
209946,
212576,
212868,
213528,
214368,
215784,
215860,
216003,
216030,
216049,
216066,
216081,
216097,
216225,
217854,
218743.
Some larger examples :
950625,
953344,
956578,
964215,
965363,
968245,
972405,
974855,
976545,
976566,
978192,
983445,
984375,
985726,
992016,
992256,
995328,
995334,
995344,
995373.