285127200 has 162 divisors, whose sum is σ = 1010507589. Its totient is φ = 75651840.

The previous prime is 285127189. The next prime is 285127207. The reversal of 285127200 is 2721582.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 279424656 + 5702544 = 16716^2 + 2388^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11940.

It is not an unprimeable number, because it can be changed into a prime (285127207) 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 26 ways as a sum of consecutive naturals, for example, 1432701 + ... + 1432899.

Almost surely, 2^285127200 is an apocalyptic number.

285127200 is a gapful number since it is divisible by the number (20) 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 285127200

285127200 is an abundant number, since it is smaller than the sum of its proper divisors (725380389).

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

285127200 is a wasteful number, since it uses less digits than its factorization.

285127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 285127200 is about 16885.7099347348. The cubic root of 285127200 is about 658.1823264539.

Adding to 285127200 its reverse (2721582), we get a palindrome (287848782).

The spelling of 285127200 in words is "two hundred eighty-five million, one hundred twenty-seven thousand, two hundred".