180480 has 72 divisors (see below), whose sum is σ = 588672. Its totient is φ = 47104.

The previous prime is 180473. The next prime is 180491. The reversal of 180480 is 84081.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is an unprimeable number.

180480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3817 + ... + 3863.

It is an arithmetic number, because the mean of its divisors is an integer number (8176).

2¹⁸⁰⁴⁸⁰ is an apocalyptic number.

180480 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 180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336).

180480 is an abundant number, since it is smaller than the sum of its proper divisors (408192).

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

180480 is an equidigital number, since it uses as much as digits as its factorization.

180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

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

The square root of 180480 is about 424.8293775153. The cubic root of 180480 is about 56.5123057750.

The spelling of 180480 in words is "one hundred eighty thousand, four hundred eighty".