180407 has 4 divisors (see below), whose sum is σ = 181440. Its totient is φ = 179376.

The previous prime is 180391. The next prime is 180413. The reversal of 180407 is 704081.

It is a happy number.

180407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 180407 - 2⁴ = 180391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2¹⁸⁰⁴⁰⁷ is an apocalyptic number.

180407 is a deficient number, since it is larger than the sum of its proper divisors (1033).

180407 is an equidigital number, since it uses as much as digits as its factorization.

180407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 180407 is about 424.7434519801. The cubic root of 180407 is about 56.5046854391.

Adding to 180407 its reverse (704081), we get a palindrome (884488).

It can be divided in two parts, 1 and 80407, that added together give a palindrome (80408).

The spelling of 180407 in words is "one hundred eighty thousand, four hundred seven".