285345792 has 144 divisors (see below), whose sum is σ = 837493020. Its totient is φ = 93585408.

The previous prime is 285345791. The next prime is 285345811. The reversal of 285345792 is 297543582.

285345792 is a `hidden beast` number, since 28 + 53 + 4 + 579 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 263218176 + 22127616 = 16224^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (285345791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082748 + ... + 2082884.

Almost surely, 2^285345792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418746510).

285345792 is an abundant number, since it is smaller than the sum of its proper divisors (552147228).

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

285345792 is a wasteful number, since it uses less digits than its factorization.

285345792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 285345792 is about 16892.1813866653. The cubic root of 285345792 is about 658.3504813921.

The spelling of 285345792 in words is "two hundred eighty-five million, three hundred forty-five thousand, seven hundred ninety-two".