180456 has 32 divisors (see below), whose sum is σ = 461760. Its totient is φ = 58752.

The previous prime is 180437. The next prime is 180463. The reversal of 180456 is 654081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1701 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (14430).

2¹⁸⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

180456 is an abundant number, since it is smaller than the sum of its proper divisors (281304).

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

180456 is a wasteful number, since it uses less digits than its factorization.

180456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 180456 is about 424.8011299420. The cubic root of 180456 is about 56.5098006858.

It can be divided in two parts, 180 and 456, that added together give a palindrome (636).

The spelling of 180456 in words is "one hundred eighty thousand, four hundred fifty-six".