285793840 has 80 divisors (see below), whose sum is σ = 702276480. Its totient is φ = 107985920.

The previous prime is 285793831. The next prime is 285793847. The reversal of 285793840 is 48397582.

285793840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (285793847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107730 + ... + 110350.

It is an arithmetic number, because the mean of its divisors is an integer number (8778456).

Almost surely, 2^285793840 is an apocalyptic number.

285793840 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 285793840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351138240).

285793840 is an abundant number, since it is smaller than the sum of its proper divisors (416482640).

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

285793840 is a wasteful number, since it uses less digits than its factorization.

285793840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 285793840 is about 16905.4381782904. The cubic root of 285793840 is about 658.6948803299.

The spelling of 285793840 in words is "two hundred eighty-five million, seven hundred ninety-three thousand, eight hundred forty".