360864225 has 36 divisors (see below), whose sum is σ = 649992252. Its totient is φ = 191376000.

The previous prime is 360864223. The next prime is 360864239. The reversal of 360864225 is 522468063.

360864225 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7273809 + 353590416 = 2697^2 + 18804^2 .

It is not a de Polignac number, because 360864225 - 2¹ = 360864223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 360864225.

It is not an unprimeable number, because it can be changed into a prime (360864221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36295 + ... + 45155.

Almost surely, 2^360864225 is an apocalyptic number.

It is an amenable number.

360864225 is a deficient number, since it is larger than the sum of its proper divisors (289128027).

360864225 is a wasteful number, since it uses less digits than its factorization.

360864225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9058 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 360864225 is about 18996.4266376600. The cubic root of 360864225 is about 711.9474571177.

The spelling of 360864225 in words is "three hundred sixty million, eight hundred sixty-four thousand, two hundred twenty-five".