417664268 has 48 divisors (see below), whose sum is σ = 873815040. Its totient is φ = 170791104.

The previous prime is 417664259. The next prime is 417664283. The reversal of 417664268 is 862466714.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497393 + ... + 498231.

It is an arithmetic number, because the mean of its divisors is an integer number (18204480).

Almost surely, 2^417664268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417664268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436907520).

417664268 is an abundant number, since it is smaller than the sum of its proper divisors (456150772).

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

417664268 is a wasteful number, since it uses less digits than its factorization.

417664268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 417664268 is about 20436.8360564937. The cubic root of 417664268 is about 747.4964033786.

The spelling of 417664268 in words is "four hundred seventeen million, six hundred sixty-four thousand, two hundred sixty-eight".