458468472609 has 81 divisors (see below), whose sum is σ = 813509937747. Its totient is φ = 248047204608.

The previous prime is 458468472599. The next prime is 458468472643. The reversal of 458468472609 is 906274864854.

The square root of 458468472609 is 677103.

It is a perfect power (a square), and thus also a powerful number.

458468472609 is a `hidden beast` number, since 4 + 584 + 6 + 8 + 47 + 2 + 6 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 441340992225 + 17127480384 = 664335^2 + 130872^2 .

It is not a de Polignac number, because 458468472609 - 2²⁷ = 458334254881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (458468472109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 270163249 + ... + 270164945.

Almost surely, 2^458468472609 is an apocalyptic number.

458468472609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

458468472609 is the 677103-rd square number.

458468472609 is the 338552-nd centered octagonal number.

It is an amenable number.

458468472609 is a deficient number, since it is larger than the sum of its proper divisors (355041465138).

458468472609 is an equidigital number, since it uses as much as digits as its factorization.

458468472609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 458468472609 in words is "four hundred fifty-eight billion, four hundred sixty-eight million, four hundred seventy-two thousand, six hundred nine".