417661104 has 120 divisors (see below), whose sum is σ = 1262062080. Its totient is φ = 118672512.

The previous prime is 417661093. The next prime is 417661133. The reversal of 417661104 is 401166714.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561757 + ... + 562499.

It is an arithmetic number, because the mean of its divisors is an integer number (10517184).

Almost surely, 2^417661104 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 417661104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631031040).

417661104 is an abundant number, since it is smaller than the sum of its proper divisors (844400976).

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

417661104 is a wasteful number, since it uses less digits than its factorization.

417661104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 417661104 is about 20436.7586471045. The cubic root of 417661104 is about 747.4945158302.

The spelling of 417661104 in words is "four hundred seventeen million, six hundred sixty-one thousand, one hundred four".