First numbers that belong to both sets:
1,
8,
21952,
32768,
64000,
117649,
592704,
884736,
941192,
1728000,
2744000,
4096000,
7529536,
8998912,
11239424,
15625000,
16003008,
21952000,
29218112,
43614208,
48228544,
71991296,
74088000,
85184000,
85766121,
107850176,
110592000,
140608000,
150568768,
160989184,
203297472,
224755712,
242970624,
267089984,
303464448,
314432000,
343000000,
398688256,
438976000,
535387328,
592704000,
653972032,
686128968,
778688000,
788889024,
799178752,
941192000,
976191488,
1000000000.