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468964260 = 223254575701
BaseRepresentation
bin11011111100111…
…101001110100100
31012200102212000200
4123330331032210
51430023324020
6114311310500
714423062512
oct3374751644
91180385020
10468964260
11220799876
1211107b430
137620985b
14463d74b2
152b287590
hex1bf3d3a4

468964260 has 72 divisors (see below), whose sum is σ = 1425887736. Its totient is φ = 124761600.

The previous prime is 468964259. The next prime is 468964267. The reversal of 468964260 is 62469864.

468964260 is a `hidden beast` number, since 468 + 96 + 42 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 203404644 + 265559616 = 14262^2 + 16296^2 .

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 (468964267) 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, 79410 + ... + 85110.

Almost surely, 2468964260 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 468964260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712943868).

468964260 is an abundant number, since it is smaller than the sum of its proper divisors (956923476).

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

468964260 is a wasteful number, since it uses less digits than its factorization.

468964260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 468964260 is about 21655.5826520553. The cubic root of 468964260 is about 776.9264650176.

The spelling of 468964260 in words is "four hundred sixty-eight million, nine hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 4113 4570 5484 5701 6855 8226 9140 11402 13710 16452 17103 20565 22804 27420 28505 34206 41130 51309 57010 68412 82260 85515 102618 114020 171030 205236 256545 342060 513090 1026180 2605357 5210714 7816071 10421428 13026785 15632142 23448213 26053570 31264284 39080355 46896426 52107140 78160710 93792852 117241065 156321420 234482130 468964260