180408 has 16 divisors (see below), whose sum is σ = 451080. Its totient is φ = 60128.

The previous prime is 180391. The next prime is 180413. The reversal of 180408 is 804081.

It is a congruent number.

It is an unprimeable number.

180408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3735 + ... + 3782.

2¹⁸⁰⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

180408 is an abundant number, since it is smaller than the sum of its proper divisors (270672).

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

180408 is a wasteful number, since it uses less digits than its factorization.

180408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 180408 is about 424.7446291597. The cubic root of 180408 is about 56.5047898411.

Adding to 180408 its reverse (804081), we get a palindrome (984489).

The spelling of 180408 in words is "one hundred eighty thousand, four hundred eight".