417985992 has 96 divisors (see below), whose sum is σ = 1188907200. Its totient is φ = 132409728.

The previous prime is 417985991. The next prime is 417986039. The reversal of 417985992 is 299589714.

417985992 is a `hidden beast` number, since 41 + 7 + 9 + 8 + 599 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (417985991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285759 + ... + 287217.

It is an arithmetic number, because the mean of its divisors is an integer number (12384450).

Almost surely, 2^417985992 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 417985992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594453600).

417985992 is an abundant number, since it is smaller than the sum of its proper divisors (770921208).

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

417985992 is a wasteful number, since it uses less digits than its factorization.

417985992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1660 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 417985992 is about 20444.7057205527. The cubic root of 417985992 is about 747.6882846168.

The spelling of 417985992 in words is "four hundred seventeen million, nine hundred eighty-five thousand, nine hundred ninety-two".