285552000 has 256 divisors, whose sum is σ = 1053374400. Its totient is φ = 76032000.

The previous prime is 285551993. The next prime is 285552011. The reversal of 285552000 is 255582.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431670 + ... + 432330.

Almost surely, 2^285552000 is an apocalyptic number.

285552000 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 285552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526687200).

285552000 is an abundant number, since it is smaller than the sum of its proper divisors (767822400).

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

285552000 is an equidigital number, since it uses as much as digits as its factorization.

285552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 285552000 is about 16898.2839365422. The cubic root of 285552000 is about 658.5090310663.

The spelling of 285552000 in words is "two hundred eighty-five million, five hundred fifty-two thousand".