Search a number
-
+
461395460 = 22561378193
BaseRepresentation
bin11011100000000…
…101011000000100
31012011012022120202
4123200011120010
51421104123320
6113441150032
714301540161
oct3340053004
91164168522
10461395460
1121749a269
1210a62b318
1374789786
14453c7068
152a78eb75
hex1b805604

461395460 has 24 divisors (see below), whose sum is σ = 984817176. Its totient is φ = 181532160.

The previous prime is 461395457. The next prime is 461395463. The reversal of 461395460 is 64593164.

It is an interprime number because it is at equal distance from previous prime (461395457) and next prime (461395463).

It can be written as a sum of positive squares in 4 ways, for example, as 49224256 + 412171204 = 7016^2 + 20302^2 .

It is a super-2 number, since 2×4613954602 = 425771541017223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461395463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187877 + ... + 190316.

It is an arithmetic number, because the mean of its divisors is an integer number (41034049).

Almost surely, 2461395460 is an apocalyptic number.

It is an amenable number.

461395460 is an abundant number, since it is smaller than the sum of its proper divisors (523421716).

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

461395460 is a wasteful number, since it uses less digits than its factorization.

461395460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378263 (or 378261 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 461395460 is about 21480.1177836622. The cubic root of 461395460 is about 772.7240672028.

The spelling of 461395460 in words is "four hundred sixty-one million, three hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 378193 756386 1512772 1890965 3781930 7563860 23069773 46139546 92279092 115348865 230697730 461395460