285343284480 has 576 divisors, whose sum is σ = 993489960960. Its totient is φ = 69584486400.

The previous prime is 285343284469. The next prime is 285343284481. The reversal of 285343284480 is 84482343582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285343284481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243674295 + ... + 243675465.

It is an arithmetic number, because the mean of its divisors is an integer number (1724808960).

Almost surely, 2^285343284480 is an apocalyptic number.

285343284480 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 285343284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496744980480).

285343284480 is an abundant number, since it is smaller than the sum of its proper divisors (708146676480).

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

285343284480 is a wasteful number, since it uses less digits than its factorization.

285343284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 285343284480 in words is "two hundred eighty-five billion, three hundred forty-three million, two hundred eighty-four thousand, four hundred eighty".