360972288 has 190 divisors, whose sum is σ = 1141897086. Its totient is φ = 113246208.

The previous prime is 360972253. The next prime is 360972289. The reversal of 360972288 is 882279063.

360972288 is a `hidden beast` number, since 360 + 9 + 7 + 2 + 288 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 21233664 = 18432^2 + 4608^2 .

It is not an unprimeable number, because it can be changed into a prime (360972289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21233656 + ... + 21233672.

Almost surely, 2^360972288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570948543).

360972288 is an abundant number, since it is smaller than the sum of its proper divisors (780924798).

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

360972288 is an frugal number, since it uses more digits than its factorization.

360972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 360972288 is about 18999.2707228462. The cubic root of 360972288 is about 712.0185156991.

The spelling of 360972288 in words is "three hundred sixty million, nine hundred seventy-two thousand, two hundred eighty-eight".