284304020 has 144 divisors (see below), whose sum is σ = 808316544. Its totient is φ = 81734400.

The previous prime is 284304001. The next prime is 284304091. The reversal of 284304020 is 20403482.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219575 + ... + 220865.

Almost surely, 2^284304020 is an apocalyptic number.

284304020 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 284304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404158272).

284304020 is an abundant number, since it is smaller than the sum of its proper divisors (524012524).

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

284304020 is a wasteful number, since it uses less digits than its factorization.

284304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 284304020 is about 16861.3172676396. The cubic root of 284304020 is about 657.5483114467.

The spelling of 284304020 in words is "two hundred eighty-four million, three hundred four thousand, twenty".