285441000 has 192 divisors, whose sum is σ = 966064320. Its totient is φ = 70137600.

The previous prime is 285440959. The next prime is 285441019. The reversal of 285441000 is 144582.

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

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, 506719 + ... + 507281.

It is an arithmetic number, because the mean of its divisors is an integer number (5031585).

Almost surely, 2^285441000 is an apocalyptic number.

285441000 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 285441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483032160).

285441000 is an abundant number, since it is smaller than the sum of its proper divisors (680623320).

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

285441000 is a wasteful number, since it uses less digits than its factorization.

285441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 285441000 is about 16894.9992601361. Note that the first 3 decimals coincide. The cubic root of 285441000 is about 658.4236946237.

Adding to 285441000 its reverse (144582), we get a palindrome (285585582).

The spelling of 285441000 in words is "two hundred eighty-five million, four hundred forty-one thousand".