285143040 has 624 divisors, whose sum is σ = 1288018368. Its totient is φ = 56623104.

The previous prime is 285143017. The next prime is 285143059. The reversal of 285143040 is 40341582.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 285142995 and 285143013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16773112 + ... + 16773128.

It is an arithmetic number, because the mean of its divisors is an integer number (2064132).

Almost surely, 2^285143040 is an apocalyptic number.

285143040 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 285143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644009184).

285143040 is an abundant number, since it is smaller than the sum of its proper divisors (1002875328).

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

285143040 is a wasteful number, since it uses less digits than its factorization.

285143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 285143040 is about 16886.1789638746. The cubic root of 285143040 is about 658.1945144820.

The spelling of 285143040 in words is "two hundred eighty-five million, one hundred forty-three thousand, forty".