417968880 has 320 divisors, whose sum is σ = 1602754560. Its totient is φ = 87994368.

The previous prime is 417968879. The next prime is 417968899. The reversal of 417968880 is 88869714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120374 + ... + 1120746.

It is an arithmetic number, because the mean of its divisors is an integer number (5008608).

Almost surely, 2^417968880 is an apocalyptic number.

417968880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801377280).

417968880 is an abundant number, since it is smaller than the sum of its proper divisors (1184785680).

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

417968880 is a wasteful number, since it uses less digits than its factorization.

417968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 417968880 is about 20444.2872216177. The cubic root of 417968880 is about 747.6780812314.

The spelling of 417968880 in words is "four hundred seventeen million, nine hundred sixty-eight thousand, eight hundred eighty".