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456260461 is a prime number
BaseRepresentation
bin11011001100011…
…111101101101101
31011210112102200121
4123030133231231
51413300313321
6113135124541
714210102266
oct3314375555
91153472617
10456260461
11214602268
12108973751
13736ac407
144484b96d
152a0c8441
hex1b31fb6d

456260461 has 2 divisors, whose sum is σ = 456260462. Its totient is φ = 456260460.

The previous prime is 456260383. The next prime is 456260473. The reversal of 456260461 is 164062654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 453264100 + 2996361 = 21290^2 + 1731^2 .

It is a cyclic number.

It is not a de Polignac number, because 456260461 - 221 = 454163309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456260491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228130230 + 228130231.

It is an arithmetic number, because the mean of its divisors is an integer number (228130231).

Almost surely, 2456260461 is an apocalyptic number.

It is an amenable number.

456260461 is a deficient number, since it is larger than the sum of its proper divisors (1).

456260461 is an equidigital number, since it uses as much as digits as its factorization.

456260461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 456260461 is about 21360.2542353784. The cubic root of 456260461 is about 769.8467457969.

The spelling of 456260461 in words is "four hundred fifty-six million, two hundred sixty thousand, four hundred sixty-one".