285211920 has 80 divisors (see below), whose sum is σ = 1010471040. Its totient is φ = 65190912.

The previous prime is 285211919. The next prime is 285211931. The reversal of 285211920 is 29112582.

285211920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83205 + ... + 86564.

It is an arithmetic number, because the mean of its divisors is an integer number (12630888).

Almost surely, 2^285211920 is an apocalyptic number.

285211920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285211920 is an abundant number, since it is smaller than the sum of its proper divisors (725259120).

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

285211920 is a wasteful number, since it uses less digits than its factorization.

285211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169792 (or 169786 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 285211920 is about 16888.2183785028. The cubic root of 285211920 is about 658.2475086893.

The spelling of 285211920 in words is "two hundred eighty-five million, two hundred eleven thousand, nine hundred twenty".