284764480 has 336 divisors, whose sum is σ = 934004736. Its totient is φ = 81285120.

The previous prime is 284764453. The next prime is 284764483. The reversal of 284764480 is 84467482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284764483) by changing a digit.

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, 2242177 + ... + 2242303.

It is an arithmetic number, because the mean of its divisors is an integer number (2779776).

Almost surely, 2^284764480 is an apocalyptic number.

284764480 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 284764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467002368).

284764480 is an abundant number, since it is smaller than the sum of its proper divisors (649240256).

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

284764480 is a wasteful number, since it uses less digits than its factorization.

284764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 284764480 is about 16874.9660740400. The cubic root of 284764480 is about 657.9031093189.

The spelling of 284764480 in words is "two hundred eighty-four million, seven hundred sixty-four thousand, four hundred eighty".