417130875 has 192 divisors, whose sum is σ = 934502400. Its totient is φ = 178516800.

The previous prime is 417130793. The next prime is 417130891. The reversal of 417130875 is 578031714.

It is not a de Polignac number, because 417130875 - 2¹⁰ = 417129851 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8875102 + ... + 8875148.

It is an arithmetic number, because the mean of its divisors is an integer number (4867200).

Almost surely, 2^417130875 is an apocalyptic number.

417130875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

417130875 is an abundant number, since it is smaller than the sum of its proper divisors (517371525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417130875 is a wasteful number, since it uses less digits than its factorization.

417130875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 417130875 is about 20423.7820934322. The cubic root of 417130875 is about 747.1780622062.

The spelling of 417130875 in words is "four hundred seventeen million, one hundred thirty thousand, eight hundred seventy-five".