417442160 has 80 divisors (see below), whose sum is σ = 1037136000. Its totient is φ = 155789568.

The previous prime is 417442139. The next prime is 417442163. The reversal of 417442160 is 61244714.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417442163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99791 + ... + 103889.

It is an arithmetic number, because the mean of its divisors is an integer number (12964200).

Almost surely, 2^417442160 is an apocalyptic number.

417442160 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 417442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518568000).

417442160 is an abundant number, since it is smaller than the sum of its proper divisors (619693840).

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

417442160 is a wasteful number, since it uses less digits than its factorization.

417442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 417442160 is about 20431.4013224742. The cubic root of 417442160 is about 747.3638771828.

Adding to 417442160 its reverse (61244714), we get a palindrome (478686874).

The spelling of 417442160 in words is "four hundred seventeen million, four hundred forty-two thousand, one hundred sixty".