285985260 has 144 divisors (see below), whose sum is σ = 968647680. Its totient is φ = 67697280.

The previous prime is 285985229. The next prime is 285985307. The reversal of 285985260 is 62589582.

285985260 is a `hidden beast` number, since 2 + 8 + 598 + 52 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83461 + ... + 86819.

It is an arithmetic number, because the mean of its divisors is an integer number (6726720).

Almost surely, 2^285985260 is an apocalyptic number.

285985260 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 285985260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484323840).

285985260 is an abundant number, since it is smaller than the sum of its proper divisors (682662420).

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

285985260 is a wasteful number, since it uses less digits than its factorization.

285985260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 285985260 is about 16911.0987224367. The cubic root of 285985260 is about 658.8419084978.

The spelling of 285985260 in words is "two hundred eighty-five million, nine hundred eighty-five thousand, two hundred sixty".