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485965440 = 2733528123
BaseRepresentation
bin11100111101110…
…011111010000000
31020212102121021000
4130331303322000
51443401343230
6120115532000
715020431602
oct3475637200
91225377230
10485965440
1122a351034
121168ba000
13798b001c
1448781172
152c9e4b60
hex1cf73e80

485965440 has 128 divisors (see below), whose sum is σ = 1721188800. Its totient is φ = 129586176.

The previous prime is 485965387. The next prime is 485965457. The reversal of 485965440 is 44569584.

485965440 is a `hidden beast` number, since 4 + 8 + 596 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 3219 + ... + 31341.

Almost surely, 2485965440 is an apocalyptic number.

485965440 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 485965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860594400).

485965440 is an abundant number, since it is smaller than the sum of its proper divisors (1235223360).

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

485965440 is a wasteful number, since it uses less digits than its factorization.

485965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28151 (or 28133 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 485965440 is about 22044.6238343955. The cubic root of 485965440 is about 786.2037814377.

The spelling of 485965440 in words is "four hundred eighty-five million, nine hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 28123 56246 84369 112492 140615 168738 224984 253107 281230 337476 421845 449968 506214 562460 674952 759321 843690 899936 1012428 1124920 1265535 1349904 1518642 1687380 1799872 2024856 2249840 2531070 2699808 3037284 3374760 3599744 3796605 4049712 4499680 5062140 5399616 6074568 6749520 7593210 8099424 8999360 10124280 10799232 12149136 13499040 15186420 16198848 17998720 20248560 24298272 26998080 30372840 32397696 40497120 48596544 53996160 60745680 80994240 97193088 121491360 161988480 242982720 485965440