417671982 has 144 divisors (see below), whose sum is σ = 1151514000. Its totient is φ = 108428544.

The previous prime is 417671981. The next prime is 417671983. The reversal of 417671982 is 289176714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (417671981) and next prime (417671983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417671981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 836769 + ... + 837267.

It is an arithmetic number, because the mean of its divisors is an integer number (7996625).

Almost surely, 2^417671982 is an apocalyptic number.

417671982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 417671982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575757000).

417671982 is an abundant number, since it is smaller than the sum of its proper divisors (733842018).

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

417671982 is a wasteful number, since it uses less digits than its factorization.

417671982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 417671982 is about 20437.0247834659. The cubic root of 417671982 is about 747.5010052820.

The spelling of 417671982 in words is "four hundred seventeen million, six hundred seventy-one thousand, nine hundred eighty-two".