180409085 has 16 divisors (see below), whose sum is σ = 232191360. Its totient is φ = 134147520.

The previous prime is 180409069. The next prime is 180409093. The reversal of 180409085 is 580904081.

It is not a de Polignac number, because 180409085 - 2⁴ = 180409069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12881 + ... + 22950.

It is an arithmetic number, because the mean of its divisors is an integer number (14511960).

Almost surely, 2^180409085 is an apocalyptic number.

It is an amenable number.

180409085 is a deficient number, since it is larger than the sum of its proper divisors (51782275).

180409085 is a wasteful number, since it uses less digits than its factorization.

180409085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35908.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 180409085 is about 13431.6449104345. The cubic root of 180409085 is about 565.0490311692.

The spelling of 180409085 in words is "one hundred eighty million, four hundred nine thousand, eighty-five".