460072961 has 2 divisors, whose sum is σ = 460072962. Its totient is φ = 460072960.

The previous prime is 460072939. The next prime is 460072981. The reversal of 460072961 is 169270064.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248661361 + 211411600 = 15769^2 + 14540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-460072961 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_24358166 and since 460072961 and 24358166 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (460072981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230036480 + 230036481.

It is an arithmetic number, because the mean of its divisors is an integer number (230036481).

Almost surely, 2^460072961 is an apocalyptic number.

It is an amenable number.

460072961 is a deficient number, since it is larger than the sum of its proper divisors (1).

460072961 is an equidigital number, since it uses as much as digits as its factorization.

460072961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 460072961 is about 21449.3114341696. The cubic root of 460072961 is about 771.9850736955.

The spelling of 460072961 in words is "four hundred sixty million, seventy-two thousand, nine hundred sixty-one".