417232024225 has 9 divisors (see below), whose sum is σ = 517371714867. Its totient is φ = 333783035640.

The previous prime is 417232024219. The next prime is 417232024243. The reversal of 417232024225 is 522420232714.

The square root of 417232024225 is 645935.

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

It can be written as a sum of positive squares in only one way, i.e., 150203528721 + 267028495504 = 387561^2 + 516748^2 .

It is not a de Polignac number, because 417232024225 - 2⁹ = 417232023713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 3165082 + ... + 3294268.

Almost surely, 2^417232024225 is an apocalyptic number.

417232024225 is the 645935-th square number.

417232024225 is the 322968-th centered octagonal number.

It is an amenable number.

417232024225 is a deficient number, since it is larger than the sum of its proper divisors (100139690642).

417232024225 is an frugal number, since it uses more digits than its factorization.

417232024225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258384 (or 129192 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 417232024225 its reverse (522420232714), we get a palindrome (939652256939).

The spelling of 417232024225 in words is "four hundred seventeen billion, two hundred thirty-two million, twenty-four thousand, two hundred twenty-five".