417085903872 has 528 divisors, whose sum is σ = 1348475169600. Its totient is φ = 123098234880.

The previous prime is 417085903847. The next prime is 417085903873. The reversal of 417085903872 is 278309580714.

It is a happy number.

417085903872 is a `hidden beast` number, since 4 + 17 + 0 + 8 + 590 + 38 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417085903873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819421954 + ... + 819422462.

Almost surely, 2^417085903872 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 417085903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674237584800).

417085903872 is an abundant number, since it is smaller than the sum of its proper divisors (931389265728).

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

417085903872 is a wasteful number, since it uses less digits than its factorization.

417085903872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 417085903872 in words is "four hundred seventeen billion, eighty-five million, nine hundred three thousand, eight hundred seventy-two".