180475900 has 72 divisors (see below), whose sum is σ = 429972480. Its totient is φ = 65208000.

The previous prime is 180475877. The next prime is 180475913. The reversal of 180475900 is 9574081.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209671 + ... + 210529.

It is an arithmetic number, because the mean of its divisors is an integer number (5971840).

Almost surely, 2^180475900 is an apocalyptic number.

180475900 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 180475900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214986240).

180475900 is an abundant number, since it is smaller than the sum of its proper divisors (249496580).

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

180475900 is a wasteful number, since it uses less digits than its factorization.

180475900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 180475900 is about 13434.1319034763. The cubic root of 180475900 is about 565.1187783797.

The spelling of 180475900 in words is "one hundred eighty million, four hundred seventy-five thousand, nine hundred".