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468854460 = 22335868249
BaseRepresentation
bin11011111100100…
…010011010111100
31012200020021102000
4123330202122330
51430011320320
6114305102300
714422124424
oct3374423274
91180207360
10468854460
11220724328
12111027990
137619b899
14463a9484
152b264c90
hex1bf226bc

468854460 has 48 divisors (see below), whose sum is σ = 1458660000. Its totient is φ = 125027712.

The previous prime is 468854459. The next prime is 468854461. The reversal of 468854460 is 64458864.

468854460 is a `hidden beast` number, since 46 + 8 + 8 + 544 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (468854459) and next prime (468854461).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468854461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433585 + ... + 434664.

It is an arithmetic number, because the mean of its divisors is an integer number (30388750).

Almost surely, 2468854460 is an apocalyptic number.

It is an amenable number.

468854460 is an abundant number, since it is smaller than the sum of its proper divisors (989805540).

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

468854460 is a wasteful number, since it uses less digits than its factorization.

468854460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868267 (or 868259 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 468854460 is about 21653.0473605911. The cubic root of 468854460 is about 776.8658255818.

The spelling of 468854460 in words is "four hundred sixty-eight million, eight hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 868249 1736498 2604747 3472996 4341245 5209494 7814241 8682490 10418988 13023735 15628482 17364980 23442723 26047470 31256964 39071205 46885446 52094940 78142410 93770892 117213615 156284820 234427230 468854460