180033480 has 144 divisors (see below), whose sum is σ = 643291740. Its totient is φ = 43633920.

The previous prime is 180033467. The next prime is 180033517. The reversal of 180033480 is 84330081.

180033480 is a `hidden beast` number, since 180 + 0 + 3 + 3 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179506404 + 527076 = 13398^2 + 726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41494 + ... + 45626.

Almost surely, 2^180033480 is an apocalyptic number.

180033480 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 180033480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321645870).

180033480 is an abundant number, since it is smaller than the sum of its proper divisors (463258260).

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

180033480 is a wasteful number, since it uses less digits than its factorization.

180033480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 180033480 is about 13417.6555329163. The cubic root of 180033480 is about 564.6566216987.

The spelling of 180033480 in words is "one hundred eighty million, thirty-three thousand, four hundred eighty".