284230080 has 224 divisors, whose sum is σ = 1019738880. Its totient is φ = 74511360.

The previous prime is 284230061. The next prime is 284230087. The reversal of 284230080 is 80032482.

284230080 is a `hidden beast` number, since 284 + 2 + 300 + 80 = 666.

It is a super-3 number, since 3×284230080³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284230087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578635 + ... + 579125.

Almost surely, 2^284230080 is an apocalyptic number.

284230080 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 284230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509869440).

284230080 is an abundant number, since it is smaller than the sum of its proper divisors (735508800).

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

284230080 is a wasteful number, since it uses less digits than its factorization.

284230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 284230080 is about 16859.1245324305. The cubic root of 284230080 is about 657.4913028290.

The spelling of 284230080 in words is "two hundred eighty-four million, two hundred thirty thousand, eighty".