285542400 has 432 divisors, whose sum is σ = 1115084880. Its totient is φ = 63897600.

The previous prime is 285542399. The next prime is 285542443. The reversal of 285542400 is 4245582.

285542400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21964794 + ... + 21964806.

It is an arithmetic number, because the mean of its divisors is an integer number (2581215).

Almost surely, 2^285542400 is an apocalyptic number.

285542400 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 285542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557542440).

285542400 is an abundant number, since it is smaller than the sum of its proper divisors (829542480).

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

285542400 is a wasteful number, since it uses less digits than its factorization.

285542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 285542400 is about 16897.9998816428. Note that the first 3 decimals coincide. The cubic root of 285542400 is about 658.5016514909.

Adding to 285542400 its reverse (4245582), we get a palindrome (289787982).

The spelling of 285542400 in words is "two hundred eighty-five million, five hundred forty-two thousand, four hundred".