180198480 has 320 divisors, whose sum is σ = 714240000. Its totient is φ = 37255680.

The previous prime is 180198437. The next prime is 180198481. The reversal of 180198480 is 84891081.

It is a happy number.

180198480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180198481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905421 + ... + 905619.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 2^180198480 is an apocalyptic number.

180198480 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 180198480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120000).

180198480 is an abundant number, since it is smaller than the sum of its proper divisors (534041520).

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

180198480 is a wasteful number, since it uses less digits than its factorization.

180198480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 180198480 is about 13423.8027399094. The cubic root of 180198480 is about 564.8290709088.

The spelling of 180198480 in words is "one hundred eighty million, one hundred ninety-eight thousand, four hundred eighty".