284854272 has 96 divisors (see below), whose sum is σ = 771301440. Its totient is φ = 93470720.

The previous prime is 284854259. The next prime is 284854279. The reversal of 284854272 is 272458482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×284854272² = 162283912553299968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284854279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435898 + ... + 436550.

It is an arithmetic number, because the mean of its divisors is an integer number (8034390).

Almost surely, 2^284854272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385650720).

284854272 is an abundant number, since it is smaller than the sum of its proper divisors (486447168).

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

284854272 is an equidigital number, since it uses as much as digits as its factorization.

284854272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 729 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 284854272 is about 16877.6263733974. The cubic root of 284854272 is about 657.9722521042.

The spelling of 284854272 in words is "two hundred eighty-four million, eight hundred fifty-four thousand, two hundred seventy-two".