417672992 has 48 divisors (see below), whose sum is σ = 898817472. Its totient is φ = 189477120.

The previous prime is 417672961. The next prime is 417673001. The reversal of 417672992 is 299276714.

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 7 ways as a sum of consecutive naturals, for example, 260738 + ... + 262334.

It is an arithmetic number, because the mean of its divisors is an integer number (18725364).

Almost surely, 2^417672992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417672992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449408736).

417672992 is an abundant number, since it is smaller than the sum of its proper divisors (481144480).

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

417672992 is a wasteful number, since it uses less digits than its factorization.

417672992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2353 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 417672992 is about 20437.0494935057. The cubic root of 417672992 is about 747.5016078085.

The spelling of 417672992 in words is "four hundred seventeen million, six hundred seventy-two thousand, nine hundred ninety-two".