417983349 has 32 divisors (see below), whose sum is σ = 658335744. Its totient is φ = 230932800.

The previous prime is 417983311. The next prime is 417983389. The reversal of 417983349 is 943389714.

It is a happy number.

It is not a de Polignac number, because 417983349 - 2¹³ = 417975157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417983298 and 417983307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417983389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88912 + ... + 93494.

It is an arithmetic number, because the mean of its divisors is an integer number (20572992).

Almost surely, 2^417983349 is an apocalyptic number.

It is an amenable number.

417983349 is a deficient number, since it is larger than the sum of its proper divisors (240352395).

417983349 is a wasteful number, since it uses less digits than its factorization.

417983349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737.

The product of its digits is 653184, while the sum is 48.

The square root of 417983349 is about 20444.6410826896. The cubic root of 417983349 is about 747.6867086913.

The spelling of 417983349 in words is "four hundred seventeen million, nine hundred eighty-three thousand, three hundred forty-nine".