285729840 has 240 divisors, whose sum is σ = 1072431360. Its totient is φ = 67576320.

The previous prime is 285729839. The next prime is 285729887. The reversal of 285729840 is 48927582.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 340141 + ... + 340979.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^285729840 is an apocalyptic number.

285729840 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 285729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

285729840 is an abundant number, since it is smaller than the sum of its proper divisors (786701520).

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

285729840 is a wasteful number, since it uses less digits than its factorization.

285729840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 285729840 is about 16903.5451902848. The cubic root of 285729840 is about 658.6457077987.

The spelling of 285729840 in words is "two hundred eighty-five million, seven hundred twenty-nine thousand, eight hundred forty".