180400224 has 48 divisors (see below), whose sum is σ = 494145792. Its totient is φ = 57518208.

The previous prime is 180400223. The next prime is 180400267. The reversal of 180400224 is 422004081.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 180400224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180400223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38644 + ... + 43059.

It is an arithmetic number, because the mean of its divisors is an integer number (10294704).

Almost surely, 2^180400224 is an apocalyptic number.

It is an amenable number.

180400224 is an abundant number, since it is smaller than the sum of its proper divisors (313745568).

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

180400224 is a wasteful number, since it uses less digits than its factorization.

180400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81739 (or 81731 counting only the distinct ones).

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

The square root of 180400224 is about 13431.3150510291. The cubic root of 180400224 is about 565.0397800065.

The spelling of 180400224 in words is "one hundred eighty million, four hundred thousand, two hundred twenty-four".