285360000 has 320 divisors, whose sum is σ = 1003741200. Its totient is φ = 71680000.

The previous prime is 285359999. The next prime is 285360007. The reversal of 285360000 is 63582.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285360007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6959980 + ... + 6960020.

Almost surely, 2^285360000 is an apocalyptic number.

285360000 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 285360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501870600).

285360000 is an abundant number, since it is smaller than the sum of its proper divisors (718381200).

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

285360000 is an equidigital number, since it uses as much as digits as its factorization.

285360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 285360000 is about 16892.6019310229. The cubic root of 285360000 is about 658.3614081210.

The spelling of 285360000 in words is "two hundred eighty-five million, three hundred sixty thousand".