360228600 has 192 divisors, whose sum is σ = 1306464000. Its totient is φ = 90979200.

The previous prime is 360228593. The next prime is 360228641. The reversal of 360228600 is 6822063.

360228600 is a `hidden beast` number, since 36 + 0 + 2 + 28 + 600 = 666.

360228600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100845 + ... + 104355.

It is an arithmetic number, because the mean of its divisors is an integer number (6804500).

Almost surely, 2^360228600 is an apocalyptic number.

360228600 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 360228600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653232000).

360228600 is an abundant number, since it is smaller than the sum of its proper divisors (946235400).

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

360228600 is a wasteful number, since it uses less digits than its factorization.

360228600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 360228600 is about 18979.6891439244. The cubic root of 360228600 is about 711.5292041874.

The spelling of 360228600 in words is "three hundred sixty million, two hundred twenty-eight thousand, six hundred".