285901056 has 288 divisors, whose sum is σ = 1020364800. Its totient is φ = 77137920.

The previous prime is 285901013. The next prime is 285901061. The reversal of 285901056 is 650109582.

It is a happy number.

285901056 is a `hidden beast` number, since 2 + 8 + 590 + 10 + 56 = 666.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 285901056.

It is a congruent number.

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, 919141 + ... + 919451.

Almost surely, 2^285901056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510182400).

285901056 is an abundant number, since it is smaller than the sum of its proper divisors (734463744).

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

285901056 is a wasteful number, since it uses less digits than its factorization.

285901056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 285901056 is about 16908.6089315473. The cubic root of 285901056 is about 658.7772401651. Note that the first 3 decimals are identical.

It can be divided in two parts, 28590 and 1056, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 285901056 in words is "two hundred eighty-five million, nine hundred one thousand, fifty-six".