285753864 has 64 divisors (see below), whose sum is σ = 781058880. Its totient is φ = 86400000.

The previous prime is 285753857. The next prime is 285753883. The reversal of 285753864 is 468357582.

285753864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157764 + ... + 159564.

It is an arithmetic number, because the mean of its divisors is an integer number (12204045).

Almost surely, 2^285753864 is an apocalyptic number.

285753864 is a gapful number since it is divisible by the number (24) 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 285753864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390529440).

285753864 is an abundant number, since it is smaller than the sum of its proper divisors (495305016).

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

285753864 is a wasteful number, since it uses less digits than its factorization.

285753864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 285753864 is about 16904.2557955090. The cubic root of 285753864 is about 658.6641667983.

The spelling of 285753864 in words is "two hundred eighty-five million, seven hundred fifty-three thousand, eight hundred sixty-four".