180552480 has 96 divisors (see below), whose sum is σ = 570628800. Its totient is φ = 47987712.

The previous prime is 180552469. The next prime is 180552481. The reversal of 180552480 is 84255081.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (180552481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243951 + ... + 244689.

It is an arithmetic number, because the mean of its divisors is an integer number (5944050).

Almost surely, 2^180552480 is an apocalyptic number.

180552480 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 180552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285314400).

180552480 is an abundant number, since it is smaller than the sum of its proper divisors (390076320).

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

180552480 is a wasteful number, since it uses less digits than its factorization.

180552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 180552480 is about 13436.9818039618. The cubic root of 180552480 is about 565.1986979634.

It can be divided in two parts, 1805 and 52480, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 180552480 in words is "one hundred eighty million, five hundred fifty-two thousand, four hundred eighty".