180430180 has 96 divisors (see below), whose sum is σ = 468550656. Its totient is φ = 56948736.

The previous prime is 180430157. The next prime is 180430183. The reversal of 180430180 is 81034081.

It is not an unprimeable number, because it can be changed into a prime (180430183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111054 + ... + 112666.

It is an arithmetic number, because the mean of its divisors is an integer number (4880736).

Almost surely, 2^180430180 is an apocalyptic number.

180430180 is a gapful number since it is divisible by the number (10) 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 180430180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234275328).

180430180 is an abundant number, since it is smaller than the sum of its proper divisors (288120476).

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

180430180 is a wasteful number, since it uses less digits than its factorization.

180430180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 180430180 is about 13432.4301598780. The cubic root of 180430180 is about 565.0710537940.

The spelling of 180430180 in words is "one hundred eighty million, four hundred thirty thousand, one hundred eighty".