417139393 has 32 divisors (see below), whose sum is σ = 483822720. Its totient is φ = 359128000.

The previous prime is 417139343. The next prime is 417139397. The reversal of 417139393 is 393931714.

It is not a de Polignac number, because 417139393 - 2¹³ = 417131201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417139397) 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 31 ways as a sum of consecutive naturals, for example, 3898446 + ... + 3898552.

It is an arithmetic number, because the mean of its divisors is an integer number (15119460).

Almost surely, 2^417139393 is an apocalyptic number.

It is an amenable number.

417139393 is a deficient number, since it is larger than the sum of its proper divisors (66683327).

417139393 is a wasteful number, since it uses less digits than its factorization.

417139393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its digits is 61236, while the sum is 40.

The square root of 417139393 is about 20423.9906237738. The cubic root of 417139393 is about 747.1831480756.

The spelling of 417139393 in words is "four hundred seventeen million, one hundred thirty-nine thousand, three hundred ninety-three".