285240960 has 256 divisors, whose sum is σ = 1070755200. Its totient is φ = 71516160.

The previous prime is 285240947. The next prime is 285240997. The reversal of 285240960 is 69042582.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293275 + ... + 294245.

Almost surely, 2^285240960 is an apocalyptic number.

285240960 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 285240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535377600).

285240960 is an abundant number, since it is smaller than the sum of its proper divisors (785514240).

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

285240960 is a wasteful number, since it uses less digits than its factorization.

285240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 285240960 is about 16889.0781275948. The cubic root of 285240960 is about 658.2698486380.

The spelling of 285240960 in words is "two hundred eighty-five million, two hundred forty thousand, nine hundred sixty".