285324000 has 384 divisors, whose sum is σ = 1056706560. Its totient is φ = 66816000.

The previous prime is 285323977. The next prime is 285324001. The reversal of 285324000 is 423582.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285324001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4835971 + ... + 4836029.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^285324000 is an apocalyptic number.

285324000 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 285324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

285324000 is an abundant number, since it is smaller than the sum of its proper divisors (771382560).

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

285324000 is a wasteful number, since it uses less digits than its factorization.

285324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 285324000 is about 16891.5363422040. The cubic root of 285324000 is about 658.3337214475. Note that the first 3 decimals are identical.

Adding to 285324000 its reverse (423582), we get a palindrome (285747582).

The spelling of 285324000 in words is "two hundred eighty-five million, three hundred twenty-four thousand".