285238800 has 600 divisors, whose sum is σ = 1292045280. Its totient is φ = 59270400.

The previous prime is 285238787. The next prime is 285238829. The reversal of 285238800 is 8832582.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×285238800² = 162722346050880000, which contains 22 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 25930795 + ... + 25930805.

Almost surely, 2^285238800 is an apocalyptic number.

285238800 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 285238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646022640).

285238800 is an abundant number, since it is smaller than the sum of its proper divisors (1006806480).

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

285238800 is a wasteful number, since it uses less digits than its factorization.

285238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 285238800 is about 16889.0141808218. The cubic root of 285238800 is about 658.2681870411.

The spelling of 285238800 in words is "two hundred eighty-five million, two hundred thirty-eight thousand, eight hundred".