417928293 has 12 divisors (see below), whose sum is σ = 618398508. Its totient is φ = 271823040.

The previous prime is 417928271. The next prime is 417928297. The reversal of 417928293 is 392829714.

It can be written as a sum of positive squares in 2 ways, for example, as 5919489 + 412008804 = 2433^2 + 20298^2 .

It is not a de Polignac number, because 417928293 - 2²⁰ = 416879717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417928297) 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 11 ways as a sum of consecutive naturals, for example, 565930 + ... + 566667.

It is an arithmetic number, because the mean of its divisors is an integer number (51533209).

Almost surely, 2^417928293 is an apocalyptic number.

It is an amenable number.

417928293 is a deficient number, since it is larger than the sum of its proper divisors (200470215).

417928293 is a wasteful number, since it uses less digits than its factorization.

417928293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132644 (or 1132641 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 417928293 is about 20443.2945730379. The cubic root of 417928293 is about 747.6538792760.

The spelling of 417928293 in words is "four hundred seventeen million, nine hundred twenty-eight thousand, two hundred ninety-three".