417225180 has 96 divisors (see below), whose sum is σ = 1239033600. Its totient is φ = 104606208.

The previous prime is 417225163. The next prime is 417225197. The reversal of 417225180 is 81522714.

It is an interprime number because it is at equal distance from previous prime (417225163) and next prime (417225197).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 157144 + ... + 159776.

It is an arithmetic number, because the mean of its divisors is an integer number (12906600).

Almost surely, 2^417225180 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 417225180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619516800).

417225180 is an abundant number, since it is smaller than the sum of its proper divisors (821808420).

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

417225180 is a wasteful number, since it uses less digits than its factorization.

417225180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 417225180 is about 20426.0906685543. The cubic root of 417225180 is about 747.2343653331.

Adding to 417225180 its reverse (81522714), we get a palindrome (498747894).

The spelling of 417225180 in words is "four hundred seventeen million, two hundred twenty-five thousand, one hundred eighty".