417875969 has 12 divisors (see below), whose sum is σ = 486492948. Its totient is φ = 357890400.

The previous prime is 417875957. The next prime is 417876007. The reversal of 417875969 is 969578714.

It can be written as a sum of positive squares in 2 ways, for example, as 316128400 + 101747569 = 17780^2 + 10087^2 .

It is not a de Polignac number, because 417875969 - 2⁸ = 417875713 is a prime.

It is a super-2 number, since 2×417875969² = 349240650935377922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417875069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76799 + ... + 82059.

It is an arithmetic number, because the mean of its divisors is an integer number (40541079).

Almost surely, 2^417875969 is an apocalyptic number.

417875969 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

417875969 is a deficient number, since it is larger than the sum of its proper divisors (68616979).

417875969 is a wasteful number, since it uses less digits than its factorization.

417875969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 6889 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 56.

The square root of 417875969 is about 20442.0147979596. The cubic root of 417875969 is about 747.6226762563.

The spelling of 417875969 in words is "four hundred seventeen million, eight hundred seventy-five thousand, nine hundred sixty-nine".