459764561 has 2 divisors, whose sum is σ = 459764562. Its totient is φ = 459764560.

The previous prime is 459764551. The next prime is 459764567. The reversal of 459764561 is 165467954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 457104400 + 2660161 = 21380^2 + 1631^2 .

It is a cyclic number.

It is not a de Polignac number, because 459764561 - 2²² = 455570257 is a prime.

It is a super-2 number, since 2×459764561² = 422766903103045442, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (459764567) 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 as a sum of consecutive naturals, namely, 229882280 + 229882281.

It is an arithmetic number, because the mean of its divisors is an integer number (229882281).

Almost surely, 2^459764561 is an apocalyptic number.

It is an amenable number.

459764561 is a deficient number, since it is larger than the sum of its proper divisors (1).

459764561 is an equidigital number, since it uses as much as digits as its factorization.

459764561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907200, while the sum is 47.

The square root of 459764561 is about 21442.1211870468. The cubic root of 459764561 is about 771.8125406163.

The spelling of 459764561 in words is "four hundred fifty-nine million, seven hundred sixty-four thousand, five hundred sixty-one".