480180 has 48 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 124800.

The previous prime is 480169. The next prime is 480203. The reversal of 480180 is 81084.

480180 = T₁₄₅ + T₁₄₆ + ... + T₁₈₀.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

480180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 3105 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁴⁸⁰¹⁸⁰ 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 480180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

480180 is an abundant number, since it is smaller than the sum of its proper divisors (898764).

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

480180 is a wasteful number, since it uses less digits than its factorization.

480180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 480180 is about 692.9502146619. The cubic root of 480180 is about 78.3071387693.

The spelling of 480180 in words is "four hundred eighty thousand, one hundred eighty".