180444 has 24 divisors (see below), whose sum is σ = 459648. Its totient is φ = 54640.

The previous prime is 180437. The next prime is 180463. The reversal of 180444 is 444081.

180444 is a modest number, since divided by 444 gives 180 as remainder.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 180444.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180444.

It is an unprimeable number.

180444 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2¹⁸⁰⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

180444 is an abundant number, since it is smaller than the sum of its proper divisors (279204).

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

180444 is a wasteful number, since it uses less digits than its factorization.

180444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 180444 is about 424.7870054510. The cubic root of 180444 is about 56.5085480580.

The spelling of 180444 in words is "one hundred eighty thousand, four hundred forty-four".