417980268 has 72 divisors (see below), whose sum is σ = 1089684960. Its totient is φ = 134991360.

The previous prime is 417980267. The next prime is 417980279. The reversal of 417980268 is 862089714.

It is not an unprimeable number, because it can be changed into a prime (417980263) 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, 413748 + ... + 414756.

Almost surely, 2^417980268 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 417980268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544842480).

417980268 is an abundant number, since it is smaller than the sum of its proper divisors (671704692).

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

417980268 is a wasteful number, since it uses less digits than its factorization.

417980268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 417980268 is about 20444.5657327320. The cubic root of 417980268 is about 747.6848715939.

The spelling of 417980268 in words is "four hundred seventeen million, nine hundred eighty thousand, two hundred sixty-eight".