460006993 has 2 divisors, whose sum is σ = 460006994. Its totient is φ = 460006992.

The previous prime is 460006979. The next prime is 460007071. The reversal of 460006993 is 399600064.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 383846464 + 76160529 = 19592^2 + 8727^2 .

It is a cyclic number.

It is not a de Polignac number, because 460006993 - 2¹⁷ = 459875921 is a prime.

460006993 is a modest number, since divided by 6993 gives 460 as remainder.

It is equal to p_24354892 and since 460006993 and 24354892 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 (460006933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230003496 + 230003497.

It is an arithmetic number, because the mean of its divisors is an integer number (230003497).

Almost surely, 2^460006993 is an apocalyptic number.

It is an amenable number.

460006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

460006993 is an equidigital number, since it uses as much as digits as its factorization.

460006993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 460006993 is about 21447.7736140607. The cubic root of 460006993 is about 771.9481746600.

The spelling of 460006993 in words is "four hundred sixty million, six thousand, nine hundred ninety-three".