417964863 has 16 divisors (see below), whose sum is σ = 568309856. Its totient is φ = 273162240.

The previous prime is 417964823. The next prime is 417964867. The reversal of 417964863 is 368469714.

It is not a de Polignac number, because 417964863 - 2¹⁰ = 417963839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417964867) 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 15 ways as a sum of consecutive naturals, for example, 53631 + ... + 60927.

It is an arithmetic number, because the mean of its divisors is an integer number (35519366).

Almost surely, 2^417964863 is an apocalyptic number.

417964863 is a deficient number, since it is larger than the sum of its proper divisors (150344993).

417964863 is a wasteful number, since it uses less digits than its factorization.

417964863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674.

The product of its digits is 870912, while the sum is 48.

The square root of 417964863 is about 20444.1889787783. The cubic root of 417964863 is about 747.6756859713.

The spelling of 417964863 in words is "four hundred seventeen million, nine hundred sixty-four thousand, eight hundred sixty-three".