285855948 has 72 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 81231840.

The previous prime is 285855919. The next prime is 285855971. The reversal of 285855948 is 849558582.

It is a happy number.

285855948 is a `hidden beast` number, since 2 + 8 + 585 + 59 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 285855894 and 285855903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45163 + ... + 51101.

It is an arithmetic number, because the mean of its divisors is an integer number (11531520).

Almost surely, 2^285855948 is an apocalyptic number.

285855948 is a gapful number since it is divisible by the number (28) 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 285855948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

285855948 is an abundant number, since it is smaller than the sum of its proper divisors (544413492).

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

285855948 is a wasteful number, since it uses less digits than its factorization.

285855948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6142 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The square root of 285855948 is about 16907.2750021995. The cubic root of 285855948 is about 658.7425921799.

The spelling of 285855948 in words is "two hundred eighty-five million, eight hundred fifty-five thousand, nine hundred forty-eight".