284020000 has 120 divisors (see below), whose sum is σ = 762843312. Its totient is φ = 103200000.

The previous prime is 284019991. The next prime is 284020007. The reversal of 284020000 is 20482.

284020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (284020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219355 + ... + 220645.

Almost surely, 2^284020000 is an apocalyptic number.

284020000 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 284020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381421656).

284020000 is an abundant number, since it is smaller than the sum of its proper divisors (478823312).

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

284020000 is a wasteful number, since it uses less digits than its factorization.

284020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 284020000 is about 16852.8929267352. The cubic root of 284020000 is about 657.3292746845.

Adding to 284020000 its reverse (20482), we get a palindrome (284040482).

The spelling of 284020000 in words is "two hundred eighty-four million, twenty thousand".