417994575625 has 45 divisors (see below), whose sum is σ = 574371258769. Its totient is φ = 303866750000.

The previous prime is 417994575611. The next prime is 417994575629. The reversal of 417994575625 is 526575499714.

The square root of 417994575625 is 646525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 32770774729 + 385223800896 = 181027^2 + 620664^2 .

It is not a de Polignac number, because 417994575625 - 2⁹ = 417994575113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (417994575629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 177793200 + ... + 177795550.

Almost surely, 2^417994575625 is an apocalyptic number.

417994575625 is the 646525-th square number.

417994575625 is the 323263-rd centered octagonal number.

It is an amenable number.

417994575625 is a deficient number, since it is larger than the sum of its proper divisors (156376683144).

417994575625 is an frugal number, since it uses more digits than its factorization.

417994575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 2367 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 64.

Multiplying 417994575625 by its sum of digits (64), we get a square (26751652840000 = 5172200²).

The spelling of 417994575625 in words is "four hundred seventeen billion, nine hundred ninety-four million, five hundred seventy-five thousand, six hundred twenty-five".