285019920 has 120 divisors (see below), whose sum is σ = 960313536. Its totient is φ = 75757824.

The previous prime is 285019871. The next prime is 285019927. The reversal of 285019920 is 29910582.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285019927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361767 + ... + 362553.

Almost surely, 2^285019920 is an apocalyptic number.

285019920 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 285019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480156768).

285019920 is an abundant number, since it is smaller than the sum of its proper divisors (675293616).

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

285019920 is a wasteful number, since it uses less digits than its factorization.

285019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 285019920 is about 16882.5329853076. The cubic root of 285019920 is about 658.0997683798.

The spelling of 285019920 in words is "two hundred eighty-five million, nineteen thousand, nine hundred twenty".