285163200 has 672 divisors, whose sum is σ = 1269918720. Its totient is φ = 60825600.

The previous prime is 285163187. The next prime is 285163201. The reversal of 285163200 is 2361582.

285163200 is a `hidden beast` number, since 28 + 5 + 1 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (285163201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955180 + ... + 6955220.

It is an arithmetic number, because the mean of its divisors is an integer number (1889760).

Almost surely, 2^285163200 is an apocalyptic number.

285163200 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 285163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634959360).

285163200 is an abundant number, since it is smaller than the sum of its proper divisors (984755520).

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

285163200 is a wasteful number, since it uses less digits than its factorization.

285163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 285163200 is about 16886.7758912114. The cubic root of 285163200 is about 658.2100258650.

The spelling of 285163200 in words is "two hundred eighty-five million, one hundred sixty-three thousand, two hundred".