417668328 has 96 divisors (see below), whose sum is σ = 1410327360. Its totient is φ = 108483840.

The previous prime is 417668327. The next prime is 417668333. The reversal of 417668328 is 823866714.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (417668327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32125 + ... + 43212.

It is an arithmetic number, because the mean of its divisors is an integer number (14690910).

Almost surely, 2^417668328 is an apocalyptic number.

It is an amenable number.

417668328 is an abundant number, since it is smaller than the sum of its proper divisors (992659032).

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

417668328 is a wasteful number, since it uses less digits than its factorization.

417668328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75367 (or 75360 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 417668328 is about 20436.9353866963. The cubic root of 417668328 is about 747.4988254401.

The spelling of 417668328 in words is "four hundred seventeen million, six hundred sixty-eight thousand, three hundred twenty-eight".