417180625 has 45 divisors (see below), whose sum is σ = 563282973. Its totient is φ = 308826000.

The previous prime is 417180623. The next prime is 417180637. The reversal of 417180625 is 526081714.

The square root of 417180625 is 20425.

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 32706961 + 384473664 = 5719^2 + 19608^2 .

It is not a de Polignac number, because 417180625 - 2¹ = 417180623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417180623) 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, 9701854 + ... + 9701896.

Almost surely, 2^417180625 is an apocalyptic number.

417180625 is the 20425-th square number.

417180625 is the 10213-rd centered octagonal number.

It is an amenable number.

417180625 is a deficient number, since it is larger than the sum of its proper divisors (146102348).

417180625 is an frugal number, since it uses more digits than its factorization.

417180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The cubic root of 417180625 is about 747.2077656183.

The spelling of 417180625 in words is "four hundred seventeen million, one hundred eighty thousand, six hundred twenty-five".