285378560 has 144 divisors (see below), whose sum is σ = 731940300. Its totient is φ = 106659840.

The previous prime is 285378547. The next prime is 285378571. The reversal of 285378560 is 65873582.

It can be written as a sum of positive squares in 2 ways, for example, as 284394496 + 984064 = 16864^2 + 992^2 .

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 11 ways as a sum of consecutive naturals, for example, 9205745 + ... + 9205775.

Almost surely, 2^285378560 is an apocalyptic number.

285378560 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 285378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365970150).

285378560 is an abundant number, since it is smaller than the sum of its proper divisors (446561740).

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

285378560 is an equidigital number, since it uses as much as digits as its factorization.

285378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 285378560 is about 16893.1512749990. The cubic root of 285378560 is about 658.3756812297.

The spelling of 285378560 in words is "two hundred eighty-five million, three hundred seventy-eight thousand, five hundred sixty".