285485200 has 480 divisors, whose sum is σ = 991936512. Its totient is φ = 76032000.

The previous prime is 285485153. The next prime is 285485219. The reversal of 285485200 is 2584582.

285485200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9209185 + ... + 9209215.

Almost surely, 2^285485200 is an apocalyptic number.

285485200 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 285485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495968256).

285485200 is an abundant number, since it is smaller than the sum of its proper divisors (706451312).

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

285485200 is a wasteful number, since it uses less digits than its factorization.

285485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 285485200 is about 16896.3072888723. The cubic root of 285485200 is about 658.4576780917.

The spelling of 285485200 in words is "two hundred eighty-five million, four hundred eighty-five thousand, two hundred".