417253625 has 16 divisors (see below), whose sum is σ = 534812304. Its totient is φ = 324777600.

The previous prime is 417253591. The next prime is 417253633. The reversal of 417253625 is 526352714.

It can be written as a sum of positive squares in 8 ways, for example, as 10061584 + 407192041 = 3172^2 + 20179^2 .

It is not a de Polignac number, because 417253625 - 2⁶ = 417253561 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40484 + ... + 49733.

It is an arithmetic number, because the mean of its divisors is an integer number (33425769).

Almost surely, 2^417253625 is an apocalyptic number.

It is an amenable number.

417253625 is a deficient number, since it is larger than the sum of its proper divisors (117558679).

417253625 is an equidigital number, since it uses as much as digits as its factorization.

417253625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90269 (or 90259 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 417253625 is about 20426.7869475353. The cubic root of 417253625 is about 747.2513462501.

The spelling of 417253625 in words is "four hundred seventeen million, two hundred fifty-three thousand, six hundred twenty-five".