4415180 has 96 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 1324800.

The previous prime is 4415171. The next prime is 4415183. The reversal of 4415180 is 815144.

4415180 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

4415180 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72350 + ... + 72410.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^4415180 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 4415180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

4415180 is an abundant number, since it is smaller than the sum of its proper divisors (7584052).

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

4415180 is a wasteful number, since it uses less digits than its factorization.

4415180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 4415180 is about 2101.2329713766. The cubic root of 4415180 is about 164.0524817163.

The spelling of 4415180 in words is "four million, four hundred fifteen thousand, one hundred eighty".