460259989 has 24 divisors (see below), whose sum is σ = 568432728. Its totient is φ = 370298880.

The previous prime is 460259981. The next prime is 460260019. The reversal of 460259989 is 989952064.

It can be written as a sum of positive squares in 4 ways, for example, as 49589764 + 410670225 = 7042^2 + 20265^2 .

It is not a de Polignac number, because 460259989 - 2³ = 460259981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460259981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560199 + ... + 561019.

It is an arithmetic number, because the mean of its divisors is an integer number (23684697).

Almost surely, 2^460259989 is an apocalyptic number.

460259989 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

460259989 is a deficient number, since it is larger than the sum of its proper divisors (108172739).

460259989 is a wasteful number, since it uses less digits than its factorization.

460259989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The square root of 460259989 is about 21453.6707581710. The cubic root of 460259989 is about 772.0896681666.

The spelling of 460259989 in words is "four hundred sixty million, two hundred fifty-nine thousand, nine hundred eighty-nine".