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495285480 = 233251780929
BaseRepresentation
bin11101100001010…
…111010011101000
31021111222002221200
4131201113103220
52003243113410
6121051404200
715162566664
oct3541272350
91244862850
10495285480
11234637348
12119a53660
137b7c4241
1449ac98a4
152d7363c0
hex1d8574e8

495285480 has 96 divisors (see below), whose sum is σ = 1704385800. Its totient is φ = 124305408.

The previous prime is 495285467. The next prime is 495285487. The reversal of 495285480 is 84582594.

495285480 is a `hidden beast` number, since 4 + 95 + 2 + 85 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 474107076 + 21178404 = 21774^2 + 4602^2 .

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

It is not an unprimeable number, because it can be changed into a prime (495285487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34345 + ... + 46584.

Almost surely, 2495285480 is an apocalyptic number.

495285480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495285480 is an abundant number, since it is smaller than the sum of its proper divisors (1209100320).

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

495285480 is a wasteful number, since it uses less digits than its factorization.

495285480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80963 (or 80956 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 495285480 is about 22255.0102224196. The cubic root of 495285480 is about 791.1980327198.

The spelling of 495285480 in words is "four hundred ninety-five million, two hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 80929 161858 242787 323716 404645 485574 647432 728361 809290 971148 1213935 1375793 1456722 1618580 1942296 2427870 2751586 2913444 3237160 3641805 4127379 4855740 5503172 5826888 6878965 7283610 8254758 9711480 11006344 12382137 13757930 14567220 16509516 20636895 24764274 27515860 29134440 33019032 41273790 49528548 55031720 61910685 82547580 99057096 123821370 165095160 247642740 495285480