417088968 has 32 divisors (see below), whose sum is σ = 1043828160. Its totient is φ = 138882240.

The previous prime is 417088961. The next prime is 417089041. The reversal of 417088968 is 869880714.

It is a self number, because there is not a number n which added to its sum of digits gives 417088968.

It is not an unprimeable number, because it can be changed into a prime (417088961) 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, 15213 + ... + 32643.

It is an arithmetic number, because the mean of its divisors is an integer number (32619630).

Almost surely, 2^417088968 is an apocalyptic number.

It is an amenable number.

417088968 is an abundant number, since it is smaller than the sum of its proper divisors (626739192).

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

417088968 is a wasteful number, since it uses less digits than its factorization.

417088968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18437 (or 18433 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 417088968 is about 20422.7561313355. The cubic root of 417088968 is about 747.1530396521.

The spelling of 417088968 in words is "four hundred seventeen million, eighty-eight thousand, nine hundred sixty-eight".