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494606880 = 25325973541
BaseRepresentation
bin11101011110110…
…001101000100000
31021110200122002100
4131132301220200
52003104410010
6121025050400
715154042365
oct3536615040
91243618070
10494606880
11234213519
12119786a00
137b6173c1
144999046c
152d6502c0
hex1d7b1a20

494606880 has 144 divisors (see below), whose sum is σ = 1705728024. Its totient is φ = 130498560.

The previous prime is 494606869. The next prime is 494606899. The reversal of 494606880 is 88606494.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 368179344 + 126427536 = 19188^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137910 + ... + 141450.

Almost surely, 2494606880 is an apocalyptic number.

494606880 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 494606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852864012).

494606880 is an abundant number, since it is smaller than the sum of its proper divisors (1211121144).

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

494606880 is a wasteful number, since it uses less digits than its factorization.

494606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 494606880 is about 22239.7589914999. The cubic root of 494606880 is about 790.8365224378.

The spelling of 494606880 in words is "four hundred ninety-four million, six hundred six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 97 120 144 160 180 194 240 288 291 360 388 480 485 582 720 776 873 970 1164 1440 1455 1552 1746 1940 2328 2910 3104 3492 3541 3880 4365 4656 5820 6984 7082 7760 8730 9312 10623 11640 13968 14164 15520 17460 17705 21246 23280 27936 28328 31869 34920 35410 42492 46560 53115 56656 63738 69840 70820 84984 106230 113312 127476 139680 141640 159345 169968 212460 254952 283280 318690 339936 343477 424920 509904 566560 637380 686954 849840 1019808 1030431 1274760 1373908 1699680 1717385 2060862 2549520 2747816 3091293 3434770 4121724 5099040 5152155 5495632 6182586 6869540 8243448 10304310 10991264 12365172 13739080 15456465 16486896 20608620 24730344 27478160 30912930 32973792 41217240 49460688 54956320 61825860 82434480 98921376 123651720 164868960 247303440 494606880