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490404420 = 22325112331063
BaseRepresentation
bin11101001110101…
…111101001000100
31021011210010101200
4131032233221010
52001020420140
6120355022500
715103240332
oct3516575104
91234703350
10490404420
11231903110
1211829aa30
137a7a563c
14491b8b52
152d0c0030
hex1d3afa44

490404420 has 144 divisors (see below), whose sum is σ = 1631290752. Its totient is φ = 118264320.

The previous prime is 490404419. The next prime is 490404427. The reversal of 490404420 is 24404094.

It is not an unprimeable number, because it can be changed into a prime (490404427) 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, 460809 + ... + 461871.

It is an arithmetic number, because the mean of its divisors is an integer number (11328408).

Almost surely, 2490404420 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 490404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815645376).

490404420 is an abundant number, since it is smaller than the sum of its proper divisors (1140886332).

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

490404420 is a wasteful number, since it uses less digits than its factorization.

490404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 490404420 is about 22145.0766537395. The cubic root of 490404420 is about 788.5903505564.

The spelling of 490404420 in words is "four hundred ninety million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 233 330 396 466 495 660 699 932 990 1063 1165 1398 1980 2097 2126 2330 2563 2796 3189 3495 4194 4252 4660 5126 5315 6378 6990 7689 8388 9567 10252 10485 10630 11693 12756 12815 13980 15378 15945 19134 20970 21260 23067 23386 25630 30756 31890 35079 38268 38445 41940 46134 46772 47835 51260 58465 63780 70158 76890 92268 95670 105237 115335 116930 140316 153780 175395 191340 210474 230670 233860 247679 350790 420948 461340 495358 526185 701580 743037 990716 1052370 1238395 1486074 2104740 2229111 2476790 2724469 2972148 3715185 4458222 4953580 5448938 7430370 8173407 8916444 10897876 11145555 13622345 14860740 16346814 22291110 24520221 27244690 32693628 40867035 44582220 49040442 54489380 81734070 98080884 122601105 163468140 245202210 490404420