285802816 has 56 divisors (see below), whose sum is σ = 613516680. Its totient is φ = 131315712.

The previous prime is 285802799. The next prime is 285802819. The reversal of 285802816 is 618208582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 285745216 = 240^2 + 16904^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285802819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223170 + ... + 224446.

It is an arithmetic number, because the mean of its divisors is an integer number (10955655).

Almost surely, 2^285802816 is an apocalyptic number.

285802816 is a gapful number since it is divisible by the number (26) 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 285802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306758340).

285802816 is an abundant number, since it is smaller than the sum of its proper divisors (327713864).

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

285802816 is a wasteful number, since it uses less digits than its factorization.

285802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 285802816 is about 16905.7036529096. The cubic root of 285802816 is about 658.7017761904.

The spelling of 285802816 in words is "two hundred eighty-five million, eight hundred two thousand, eight hundred sixteen".