180448008 has 64 divisors (see below), whose sum is σ = 492038400. Its totient is φ = 54812160.

The previous prime is 180448003. The next prime is 180448057. The reversal of 180448008 is 800844081.

It is a super-2 number, since 2×180448008² = 65122967182336128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180448008.

It is not an unprimeable number, because it can be changed into a prime (180448003) by changing a digit.

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, 20988 + ... + 28308.

It is an arithmetic number, because the mean of its divisors is an integer number (7688100).

Almost surely, 2^180448008 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 180448008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246019200).

180448008 is an abundant number, since it is smaller than the sum of its proper divisors (311590392).

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

180448008 is a wasteful number, since it uses less digits than its factorization.

180448008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 180448008 is about 13433.0937613046. The cubic root of 180448008 is about 565.0896644185.

The spelling of 180448008 in words is "one hundred eighty million, four hundred forty-eight thousand, eight".