285730560 has 216 divisors, whose sum is σ = 1047468240. Its totient is φ = 71663616.

The previous prime is 285730547. The next prime is 285730561. The reversal of 285730560 is 65037582.

285730560 is a `hidden beast` number, since 28 + 5 + 73 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285730561) 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 23 ways as a sum of consecutive naturals, for example, 195111 + ... + 196569.

It is an arithmetic number, because the mean of its divisors is an integer number (4849390).

Almost surely, 2^285730560 is an apocalyptic number.

285730560 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 285730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523734120).

285730560 is an abundant number, since it is smaller than the sum of its proper divisors (761737680).

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

285730560 is a wasteful number, since it uses less digits than its factorization.

285730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 285730560 is about 16903.5664875789. The cubic root of 285730560 is about 658.6462610305.

The spelling of 285730560 in words is "two hundred eighty-five million, seven hundred thirty thousand, five hundred sixty".