180249300 has 540 divisors, whose sum is σ = 773846304. Its totient is φ = 35251200.

The previous prime is 180249281. The next prime is 180249301. The reversal of 180249300 is 3942081.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180249301) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 10602892 + ... + 10602908.

Almost surely, 2^180249300 is an apocalyptic number.

180249300 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 180249300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386923152).

180249300 is an abundant number, since it is smaller than the sum of its proper divisors (593597004).

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

180249300 is a wasteful number, since it uses less digits than its factorization.

180249300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 180249300 is about 13425.6955127099. The cubic root of 180249300 is about 564.8821640599.

The spelling of 180249300 in words is "one hundred eighty million, two hundred forty-nine thousand, three hundred".