417825280 has 80 divisors (see below), whose sum is σ = 1007614080. Its totient is φ = 166162432.

The previous prime is 417825271. The next prime is 417825299. The reversal of 417825280 is 82528714.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580761 + ... + 581479.

It is an arithmetic number, because the mean of its divisors is an integer number (12595176).

Almost surely, 2^417825280 is an apocalyptic number.

417825280 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 417825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503807040).

417825280 is an abundant number, since it is smaller than the sum of its proper divisors (589788800).

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

417825280 is an equidigital number, since it uses as much as digits as its factorization.

417825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 417825280 is about 20440.7749363863. The cubic root of 417825280 is about 747.5924457724.

It can be divided in two parts, 4 and 17825280, that added together give a square (17825284 = 4222²).

The spelling of 417825280 in words is "four hundred seventeen million, eight hundred twenty-five thousand, two hundred eighty".