417241201 has 8 divisors (see below), whose sum is σ = 453786984. Its totient is φ = 381331200.

The previous prime is 417241171. The next prime is 417241213. The reversal of 417241201 is 102142714.

It can be written as a sum of positive squares in 4 ways, for example, as 47679025 + 369562176 = 6905^2 + 19224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417241201 - 2⁷ = 417241073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417241271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157576 + ... + 160201.

It is an arithmetic number, because the mean of its divisors is an integer number (56723373).

Almost surely, 2^417241201 is an apocalyptic number.

It is an amenable number.

417241201 is a deficient number, since it is larger than the sum of its proper divisors (36545783).

417241201 is a wasteful number, since it uses less digits than its factorization.

417241201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317891.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 417241201 is about 20426.4828347907. The cubic root of 417241201 is about 747.2439295438.

Adding to 417241201 its reverse (102142714), we get a palindrome (519383915).

The spelling of 417241201 in words is "four hundred seventeen million, two hundred forty-one thousand, two hundred one".