180460224 has 140 divisors (see below), whose sum is σ = 611483664. Its totient is φ = 51549696.

The previous prime is 180460201. The next prime is 180460261. The reversal of 180460224 is 422064081.

180460224 is a `hidden beast` number, since 180 + 460 + 2 + 24 = 666.

It is a super-2 number, since 2×180460224² = 65131784892260352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33802 + ... + 38774.

Almost surely, 2^180460224 is an apocalyptic number.

180460224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305741832).

180460224 is an abundant number, since it is smaller than the sum of its proper divisors (431023440).

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

180460224 is an equidigital number, since it uses as much as digits as its factorization.

180460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 180460224 is about 13433.5484515447. The cubic root of 180460224 is about 565.1024159762.

The spelling of 180460224 in words is "one hundred eighty million, four hundred sixty thousand, two hundred twenty-four".