417941009 has 8 divisors (see below), whose sum is σ = 422190792. Its totient is φ = 413701120.

The previous prime is 417940961. The next prime is 417941053. The reversal of 417941009 is 900149714.

It can be written as a sum of positive squares in 4 ways, for example, as 3411409 + 414529600 = 1847^2 + 20360^2 .

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 417941009 - 2¹² = 417936913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417941009.

It is not an unprimeable number, because it can be changed into a prime (417901009) 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, 105749 + ... + 109629.

It is an arithmetic number, because the mean of its divisors is an integer number (52773849).

Almost surely, 2^417941009 is an apocalyptic number.

It is an amenable number.

417941009 is a deficient number, since it is larger than the sum of its proper divisors (4249783).

417941009 is a wasteful number, since it uses less digits than its factorization.

417941009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 417941009 is about 20443.6055772948. The cubic root of 417941009 is about 747.6614619725.

The spelling of 417941009 in words is "four hundred seventeen million, nine hundred forty-one thousand, nine".