180449920 has 128 divisors (see below), whose sum is σ = 504092160. Its totient is φ = 60481536.

The previous prime is 180449911. The next prime is 180449953. The reversal of 180449920 is 29944081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 180449920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210132 + ... + 210988.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2^180449920 is an apocalyptic number.

180449920 is a gapful number since it is divisible by the number (10) 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 180449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

180449920 is an abundant number, since it is smaller than the sum of its proper divisors (323642240).

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

180449920 is an equidigital number, since it uses as much as digits as its factorization.

180449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 180449920 is about 13433.1649286384. The cubic root of 180449920 is about 565.0916602799.

The spelling of 180449920 in words is "one hundred eighty million, four hundred forty-nine thousand, nine hundred twenty".