284905920 has 224 divisors, whose sum is σ = 1002109248. Its totient is φ = 68124672.

The previous prime is 284905919. The next prime is 284905921. The reversal of 284905920 is 29509482.

It is an interprime number because it is at equal distance from previous prime (284905919) and next prime (284905921).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284905921) 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 31 ways as a sum of consecutive naturals, for example, 461452 + ... + 462068.

It is an arithmetic number, because the mean of its divisors is an integer number (4473702).

Almost surely, 2^284905920 is an apocalyptic number.

284905920 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 284905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501054624).

284905920 is an abundant number, since it is smaller than the sum of its proper divisors (717203328).

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

284905920 is a wasteful number, since it uses less digits than its factorization.

284905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 284905920 is about 16879.1563770231. The cubic root of 284905920 is about 658.0120161761.

The spelling of 284905920 in words is "two hundred eighty-four million, nine hundred five thousand, nine hundred twenty".