285199200 has 432 divisors, whose sum is σ = 1185767856. Its totient is φ = 63590400.

The previous prime is 285199181. The next prime is 285199267. The reversal of 285199200 is 2991582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1029462 + ... + 1029738.

It is an arithmetic number, because the mean of its divisors is an integer number (2744833).

Almost surely, 2^285199200 is an apocalyptic number.

285199200 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 285199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592883928).

285199200 is an abundant number, since it is smaller than the sum of its proper divisors (900568656).

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

285199200 is a wasteful number, since it uses less digits than its factorization.

285199200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 285199200 is about 16887.8417804052. The cubic root of 285199200 is about 658.2377229450.

The spelling of 285199200 in words is "two hundred eighty-five million, one hundred ninety-nine thousand, two hundred".