285368800 has 72 divisors (see below), whose sum is σ = 737671536. Its totient is φ = 107427840.

The previous prime is 285368791. The next prime is 285368803. The reversal of 285368800 is 8863582.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285368803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3109 + ... + 24091.

It is an arithmetic number, because the mean of its divisors is an integer number (10245438).

Almost surely, 2^285368800 is an apocalyptic number.

285368800 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 285368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368835768).

285368800 is an abundant number, since it is smaller than the sum of its proper divisors (452302736).

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

285368800 is a wasteful number, since it uses less digits than its factorization.

285368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21020 (or 21007 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 285368800 is about 16892.8623980662. The cubic root of 285368800 is about 658.3681756204.

The spelling of 285368800 in words is "two hundred eighty-five million, three hundred sixty-eight thousand, eight hundred".