284408352 has 72 divisors (see below), whose sum is σ = 822095820. Its totient is φ = 93242880.

The previous prime is 284408347. The next prime is 284408387. The reversal of 284408352 is 253804482.

284408352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 257409936 + 26998416 = 16044^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×284408352² = 161776221374711808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9474 + ... + 25662.

Almost surely, 2^284408352 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 284408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411047910).

284408352 is an abundant number, since it is smaller than the sum of its proper divisors (537687468).

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

284408352 is a wasteful number, since it uses less digits than its factorization.

284408352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16266 (or 16255 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 284408352 is about 16864.4108109356. The cubic root of 284408352 is about 657.6287358462.

The spelling of 284408352 in words is "two hundred eighty-four million, four hundred eight thousand, three hundred fifty-two".