417088380 has 96 divisors (see below), whose sum is σ = 1233388800. Its totient is φ = 105020928.

The previous prime is 417088369. The next prime is 417088409. The reversal of 417088380 is 83880714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648339 + ... + 648981.

It is an arithmetic number, because the mean of its divisors is an integer number (12847800).

Almost surely, 2^417088380 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 417088380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616694400).

417088380 is an abundant number, since it is smaller than the sum of its proper divisors (816300420).

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

417088380 is a wasteful number, since it uses less digits than its factorization.

417088380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 417088380 is about 20422.7417356240. The cubic root of 417088380 is about 747.1526885470.

The spelling of 417088380 in words is "four hundred seventeen million, eighty-eight thousand, three hundred eighty".