458975085529 has 9 divisors (see below), whose sum is σ = 461520793461. Its totient is φ = 456443353980.

The previous prime is 458975085461. The next prime is 458975085533. The reversal of 458975085529 is 925580579854.

The square root of 458975085529 is 677477.

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

It is not a de Polignac number, because 458975085529 - 2²⁷ = 458840867801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458975085539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129396334 + ... + 129399880.

Almost surely, 2^458975085529 is an apocalyptic number.

458975085529 is the 677477-th square number.

458975085529 is the 338739-th centered octagonal number.

It is an amenable number.

458975085529 is a deficient number, since it is larger than the sum of its proper divisors (2545707932).

458975085529 is an frugal number, since it uses more digits than its factorization.

458975085529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 67.

The spelling of 458975085529 in words is "four hundred fifty-eight billion, nine hundred seventy-five million, eighty-five thousand, five hundred twenty-nine".