417872484 has 36 divisors (see below), whose sum is σ = 1092715260. Its totient is φ = 134487360.

The previous prime is 417872479. The next prime is 417872527. The reversal of 417872484 is 484278714.

It can be written as a sum of positive squares in 2 ways, for example, as 102454884 + 315417600 = 10122^2 + 17760^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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, 199087 + ... + 201174.

Almost surely, 2^417872484 is an apocalyptic number.

It is an amenable number.

417872484 is an abundant number, since it is smaller than the sum of its proper divisors (674842776).

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

417872484 is a wasteful number, since it uses less digits than its factorization.

417872484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400300 (or 400295 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 417872484 is about 20441.9295566735. The cubic root of 417872484 is about 747.6205979105.

The spelling of 417872484 in words is "four hundred seventeen million, eight hundred seventy-two thousand, four hundred eighty-four".