285086880 has 288 divisors, whose sum is σ = 1065237264. Its totient is φ = 69009408.

The previous prime is 285086843. The next prime is 285086911. The reversal of 285086880 is 88680582.

285086880 is a `hidden beast` number, since 2 + 8 + 508 + 68 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40602384 + 244484496 = 6372^2 + 15636^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 1815762 + ... + 1815918.

Almost surely, 2^285086880 is an apocalyptic number.

285086880 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 285086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532618632).

285086880 is an abundant number, since it is smaller than the sum of its proper divisors (780150384).

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

285086880 is a wasteful number, since it uses less digits than its factorization.

285086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 285086880 is about 16884.5159835869. The cubic root of 285086880 is about 658.1513003453.

The spelling of 285086880 in words is "two hundred eighty-five million, eighty-six thousand, eight hundred eighty".