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490486320 = 24335972341
BaseRepresentation
bin11101001111000…
…011101000110000
31021011221021202000
4131033003220300
52001031030240
6120400454000
715104031162
oct3517035060
91234837660
10490486320
112319596a5
1211831a300
137a8039bc
14491da932
152d0d9430
hex1d3c3a30

490486320 has 160 divisors (see below), whose sum is σ = 1707599040. Its totient is φ = 129392640.

The previous prime is 490486307. The next prime is 490486357. The reversal of 490486320 is 23684094.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208350 + ... + 210690.

It is an arithmetic number, because the mean of its divisors is an integer number (10672494).

Almost surely, 2490486320 is an apocalyptic number.

490486320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853799520).

490486320 is an abundant number, since it is smaller than the sum of its proper divisors (1217112720).

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

490486320 is a wasteful number, since it uses less digits than its factorization.

490486320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 490486320 is about 22146.9257460262. The cubic root of 490486320 is about 788.6342476286.

The spelling of 490486320 in words is "four hundred ninety million, four hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 97 108 120 135 144 180 194 216 240 270 291 360 388 432 485 540 582 720 776 873 970 1080 1164 1455 1552 1746 1940 2160 2328 2341 2619 2910 3492 3880 4365 4656 4682 5238 5820 6984 7023 7760 8730 9364 10476 11640 11705 13095 13968 14046 17460 18728 20952 21069 23280 23410 26190 28092 34920 35115 37456 41904 42138 46820 52380 56184 63207 69840 70230 84276 93640 104760 105345 112368 126414 140460 168552 187280 209520 210690 227077 252828 280920 316035 337104 421380 454154 505656 561840 632070 681231 842760 908308 1011312 1135385 1264140 1362462 1685520 1816616 2043693 2270770 2528280 2724924 3406155 3633232 4087386 4541540 5056560 5449848 6131079 6812310 8174772 9083080 10218465 10899696 12262158 13624620 16349544 18166160 20436930 24524316 27249240 30655395 32699088 40873860 49048632 54498480 61310790 81747720 98097264 122621580 163495440 245243160 490486320