417134984 has 64 divisors (see below), whose sum is σ = 969615360. Its totient is φ = 164136960.

The previous prime is 417134947. The next prime is 417134989. The reversal of 417134984 is 489431714.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (417134989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33689 + ... + 44375.

It is an arithmetic number, because the mean of its divisors is an integer number (15150240).

Almost surely, 2^417134984 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 417134984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484807680).

417134984 is an abundant number, since it is smaller than the sum of its proper divisors (552480376).

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

417134984 is a wasteful number, since it uses less digits than its factorization.

417134984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10754 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 417134984 is about 20423.8826866979. The cubic root of 417134984 is about 747.1805155886.

The spelling of 417134984 in words is "four hundred seventeen million, one hundred thirty-four thousand, nine hundred eighty-four".