June 28, 1998 || Prescott || P. G. Comba || slow || align=right | 10 km || |-id=395 bgcolor=#d6d6d6 | 20395 || || — || June 24, 1998 || Socorro || LINEAR || BRA || align=right | 16 km || |-id=396 bgcolor=#E9E9E9 | 20396 || || — || June 24, 1998 || Socorro || LINEAR || — || align=right | 5.4 km || |-id=397 bgcolor=#d6d6d6 | 20397 || || — || June 24, 1998 || Socorro || LINEAR || KOR || align=right | 5.7 km || |-id=398 bgcolor=#E9E9E9 | 20398 || 1998 NQ || — || July 11, 1998 || Woomera || F. B. Zoltowski || MAR || align=right | 2.7 km || |-id=399 bgcolor=#d6d6d6 | 20399 Michaelesser || 1998 OO || || July 20, 1998 || Caussols || ODAS || HYG || align=right | 8.4 km || |-id=400 bgcolor=#fefefe | 20400 || || — || July 24, 1998 || Caussols || ODAS || — || align=right | 1.9 km || |} 20401–20500 |-bgcolor=#E9E9E9 | 20401 || || — || July 21, 1998 || Socorro || LINEAR || — || align=right | 4.7 km || |-id=402 bgcolor=#d6d6d6 | 20402 || || — || July 31, 1998 || Višnjan Observatory || Višnjan Obs. || — || align=right | 14 km || |-id=403 bgcolor=#d6d6d6 | 20403 Attenborough || || || July 22, 1998 || Reedy Creek || J. Broughton || EOS || align=right | 7.3 km || |-id=404 bgcolor=#E9E9E9 | 20404 || || — || July 26, 1998 || La Silla || E. W. Elst || — || align=right | 5.0 km || |-id=405 bgcolor=#E9E9E9 | 20405 Barryburke || || || August 24, 1998 || Caussols || ODAS || — || align=right | 3.4 km || |-id=406 bgcolor=#d6d6d6 | 20406 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 5.3 km || |-id=407 bgcolor=#d6d6d6 | 20407 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 15 km || |-id=408 bgcolor=#fefefe | 20408 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 3.0 km || |-id=409 bgcolor=#d6d6d6 | 20409 || || — || August 17, 1998 || Socorro || LINEAR || — || align=right | 14 km || |-id=410 bgcolor=#d6d6d6 | 20410 || || — || August 17, 1998 || Socorro || LINEAR || HYG || align=right | 13 km || |-id=411