285306240 has 128 divisors (see below), whose sum is σ = 963018720. Its totient is φ = 71598080.

The previous prime is 285306139. The next prime is 285306251. The reversal of 285306240 is 42603582.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 285306198 and 285306207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28270 + ... + 37010.

Almost surely, 2^285306240 is an apocalyptic number.

285306240 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 285306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481509360).

285306240 is an abundant number, since it is smaller than the sum of its proper divisors (677712480).

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

285306240 is a wasteful number, since it uses less digits than its factorization.

285306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 285306240 is about 16891.0106269578. The cubic root of 285306240 is about 658.3200618308.

The spelling of 285306240 in words is "two hundred eighty-five million, three hundred six thousand, two hundred forty".