285249360 has 160 divisors (see below), whose sum is σ = 971937792. Its totient is φ = 68631040.

The previous prime is 285249353. The next prime is 285249397. The reversal of 285249360 is 63942582.

It is a happy number.

285249360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440557 + ... + 441203.

Almost surely, 2^285249360 is an apocalyptic number.

285249360 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 285249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485968896).

285249360 is an abundant number, since it is smaller than the sum of its proper divisors (686688432).

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

285249360 is a wasteful number, since it uses less digits than its factorization.

285249360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 285249360 is about 16889.3268071880. The cubic root of 285249360 is about 658.2763103238.

The spelling of 285249360 in words is "two hundred eighty-five million, two hundred forty-nine thousand, three hundred sixty".