180441 has 16 divisors (see below), whose sum is σ = 275520. Its totient is φ = 116640.

The previous prime is 180437. The next prime is 180463. The reversal of 180441 is 144081.

180441 = 1² + 2² + ... + 81².

It is not a de Polignac number, because 180441 - 2² = 180437 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

180441 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180441.

It is not an unprimeable number, because it can be changed into a prime (180491) 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, 1026 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2¹⁸⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

180441 is a deficient number, since it is larger than the sum of its proper divisors (95079).

180441 is a wasteful number, since it uses less digits than its factorization.

180441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 180441 is about 424.7834742548. The cubic root of 180441 is about 56.5082348923.

The spelling of 180441 in words is "one hundred eighty thousand, four hundred forty-one".