180488 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 70080.

The previous prime is 180473. The next prime is 180491. The reversal of 180488 is 884081.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 180488.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180488.

It is an unprimeable number.

180488 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2¹⁸⁰⁴⁸⁸ 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 180488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

180488 is an abundant number, since it is smaller than the sum of its proper divisors (242872).

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

180488 is a wasteful number, since it uses less digits than its factorization.

180488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 180488 is about 424.8387929556. The cubic root of 180488 is about 56.5131407553.

The spelling of 180488 in words is "one hundred eighty thousand, four hundred eighty-eight".