417761982 has 64 divisors (see below), whose sum is σ = 1016812800. Its totient is φ = 126087840.

The previous prime is 417761963. The next prime is 417761989. The reversal of 417761982 is 289167714.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417761989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163269 + ... + 165807.

It is an arithmetic number, because the mean of its divisors is an integer number (15887700).

Almost surely, 2^417761982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417761982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508406400).

417761982 is an abundant number, since it is smaller than the sum of its proper divisors (599050818).

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

417761982 is a wasteful number, since it uses less digits than its factorization.

417761982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2832 counting only the distinct ones).

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

The square root of 417761982 is about 20439.2265509241. The cubic root of 417761982 is about 747.5546919562.

The spelling of 417761982 in words is "four hundred seventeen million, seven hundred sixty-one thousand, nine hundred eighty-two".