417728313 has 8 divisors (see below), whose sum is σ = 618856800. Its totient is φ = 278485524.

The previous prime is 417728309. The next prime is 417728327. The reversal of 417728313 is 313827714.

It is not a de Polignac number, because 417728313 - 2² = 417728309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (417728303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7735683 + ... + 7735736.

It is an arithmetic number, because the mean of its divisors is an integer number (77357100).

Almost surely, 2^417728313 is an apocalyptic number.

It is an amenable number.

417728313 is a deficient number, since it is larger than the sum of its proper divisors (201128487).

417728313 is a wasteful number, since it uses less digits than its factorization.

417728313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15471428 (or 15471422 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 417728313 is about 20438.4028974869. The cubic root of 417728313 is about 747.5346086742.

The spelling of 417728313 in words is "four hundred seventeen million, seven hundred twenty-eight thousand, three hundred thirteen".