417603961 has 8 divisors (see below), whose sum is σ = 422354240. Its totient is φ = 412870608.

The previous prime is 417603919. The next prime is 417603971. The reversal of 417603961 is 169306714.

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 417603961 - 2¹⁷ = 417472889 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 417603961.

It is not an unprimeable number, because it can be changed into a prime (417603971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49150 + ... + 57016.

It is an arithmetic number, because the mean of its divisors is an integer number (52794280).

Almost surely, 2^417603961 is an apocalyptic number.

It is an amenable number.

417603961 is a deficient number, since it is larger than the sum of its proper divisors (4750279).

417603961 is a wasteful number, since it uses less digits than its factorization.

417603961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 417603961 is about 20435.3605546856. The cubic root of 417603961 is about 747.4604243728.

The spelling of 417603961 in words is "four hundred seventeen million, six hundred three thousand, nine hundred sixty-one".