360225180 has 288 divisors, whose sum is σ = 1350236160. Its totient is φ = 75893760.

The previous prime is 360225137. The next prime is 360225251. The reversal of 360225180 is 81522063.

360225180 is a `hidden beast` number, since 3 + 602 + 2 + 51 + 8 + 0 = 666.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 981357 + ... + 981723.

It is an arithmetic number, because the mean of its divisors is an integer number (4688320).

Almost surely, 2^360225180 is an apocalyptic number.

360225180 is a gapful number since it is divisible by the number (30) 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 360225180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675118080).

360225180 is an abundant number, since it is smaller than the sum of its proper divisors (990010980).

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

360225180 is a wasteful number, since it uses less digits than its factorization.

360225180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 360225180 is about 18979.5990473982. The cubic root of 360225180 is about 711.5269524343.

It can be divided in two parts, 3602 and 25180, that added together give a palindrome (28782).

The spelling of 360225180 in words is "three hundred sixty million, two hundred twenty-five thousand, one hundred eighty".