417950865948 has 144 divisors (see below), whose sum is σ = 1226048527872. Its totient is φ = 108471792000.

The previous prime is 417950865947. The next prime is 417950865961. The reversal of 417950865948 is 849568059714.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417950865947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13207561 + ... + 13239167.

It is an arithmetic number, because the mean of its divisors is an integer number (8514225888).

Almost surely, 2^417950865948 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 417950865948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613024263936).

417950865948 is an abundant number, since it is smaller than the sum of its proper divisors (808097661924).

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

417950865948 is a wasteful number, since it uses less digits than its factorization.

417950865948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32944 (or 32931 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 417950865948 in words is "four hundred seventeen billion, nine hundred fifty million, eight hundred sixty-five thousand, nine hundred forty-eight".