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490467460 = 2257243103113
BaseRepresentation
bin11101001110111…
…111000010000100
31021011220022212111
4131032333002010
52001024424320
6120400230404
715103622200
oct3516770204
91234808774
10490467460
1123194650a
1211830b404
137a7c8242
14491d3b00
152d0d3a5a
hex1d3bf084

490467460 has 144 divisors (see below), whose sum is σ = 1248863616. Its totient is φ = 161215488.

The previous prime is 490467443. The next prime is 490467469. The reversal of 490467460 is 64764094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490467469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4340364 + ... + 4340476.

It is an arithmetic number, because the mean of its divisors is an integer number (8672664).

Almost surely, 2490467460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490467460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624431808).

490467460 is an abundant number, since it is smaller than the sum of its proper divisors (758396156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490467460 is a wasteful number, since it uses less digits than its factorization.

490467460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 490467460 is about 22146.4999492019. The cubic root of 490467460 is about 788.6241394075.

The spelling of 490467460 in words is "four hundred ninety million, four hundred sixty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 103 113 140 172 196 206 215 226 245 301 412 430 452 490 515 565 602 721 791 860 980 1030 1130 1204 1442 1505 1582 2060 2107 2260 2884 3010 3164 3605 3955 4214 4429 4859 5047 5537 6020 7210 7910 8428 8858 9718 10094 10535 11074 11639 14420 15820 17716 19436 20188 21070 22145 22148 23278 24295 25235 27685 31003 34013 42140 44290 46556 48590 50470 55370 58195 62006 68026 81473 88580 97180 100940 110740 116390 124012 136052 155015 162946 170065 217021 232780 238091 310030 325892 340130 407365 434042 476182 500477 570311 620060 680260 814730 868084 952364 1000954 1085105 1140622 1190455 1629460 2001908 2170210 2281244 2380910 2502385 2851555 3503339 4340420 4761820 5004770 5703110 7006678 10009540 11406220 14013356 17516695 24523373 35033390 49046746 70066780 98093492 122616865 245233730 490467460