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490669960 = 235114159461
BaseRepresentation
bin11101001111110…
…000011110001000
31021012021121122111
4131033300132020
52001102414320
6120404432104
715105424444
oct3517603610
91235247574
10490669960
11231a74670
121183a8634
137a869471
1449247824
152d123a5a
hex1d3f0788

490669960 has 128 divisors (see below), whose sum is σ = 1257379200. Its totient is φ = 170752000.

The previous prime is 490669957. The next prime is 490669973. The reversal of 490669960 is 69966094.

It is a happy number.

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, 1064130 + ... + 1064590.

It is an arithmetic number, because the mean of its divisors is an integer number (9823275).

Almost surely, 2490669960 is an apocalyptic number.

490669960 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 490669960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628689600).

490669960 is an abundant number, since it is smaller than the sum of its proper divisors (766709240).

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

490669960 is a wasteful number, since it uses less digits than its factorization.

490669960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The square root of 490669960 is about 22151.0713059211. The cubic root of 490669960 is about 788.7326579320.

The spelling of 490669960 in words is "four hundred ninety million, six hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 59 82 88 110 118 164 205 220 236 295 328 410 440 451 461 472 590 649 820 902 922 1180 1298 1640 1804 1844 2255 2305 2360 2419 2596 3245 3608 3688 4510 4610 4838 5071 5192 6490 9020 9220 9676 10142 12095 12980 18040 18440 18901 19352 20284 24190 25355 25960 26609 27199 37802 40568 48380 50710 53218 54398 75604 94505 96760 101420 106436 108796 133045 135995 151208 189010 202840 207911 212872 217592 266090 271990 299189 378020 415822 532180 543980 598378 756040 831644 1039555 1064360 1087960 1115159 1196756 1495945 1663288 2079110 2230318 2393512 2991890 4158220 4460636 5575795 5983780 8316440 8921272 11151590 11967560 12266749 22303180 24533498 44606360 49066996 61333745 98133992 122667490 245334980 490669960