285085920 has 576 divisors, whose sum is σ = 1191407616. Its totient is φ = 56770560.

The previous prime is 285085919. The next prime is 285085981. The reversal of 285085920 is 29580582.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9196305 + ... + 9196335.

It is an arithmetic number, because the mean of its divisors is an integer number (2068416).

Almost surely, 2^285085920 is an apocalyptic number.

285085920 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 285085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595703808).

285085920 is an abundant number, since it is smaller than the sum of its proper divisors (906321696).

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

285085920 is a wasteful number, since it uses less digits than its factorization.

285085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 285085920 is about 16884.4875551495. The cubic root of 285085920 is about 658.1505615928.

The spelling of 285085920 in words is "two hundred eighty-five million, eighty-five thousand, nine hundred twenty".