285035520 has 352 divisors, whose sum is σ = 1141341696. Its totient is φ = 58982400.

The previous prime is 285035477. The next prime is 285035533. The reversal of 285035520 is 25530582.

It is a tau number, because it is divible by the number of its divisors (352).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182600 + ... + 1182840.

It is an arithmetic number, because the mean of its divisors is an integer number (3242448).

Almost surely, 2^285035520 is an apocalyptic number.

285035520 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 285035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570670848).

285035520 is an abundant number, since it is smaller than the sum of its proper divisors (856306176).

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

285035520 is a wasteful number, since it uses less digits than its factorization.

285035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 285035520 is about 16882.9949949646. The cubic root of 285035520 is about 658.1117747559. Note that the first 3 decimals are identical.

The spelling of 285035520 in words is "two hundred eighty-five million, thirty-five thousand, five hundred twenty".