284407201 has 16 divisors (see below), whose sum is σ = 317047248. Its totient is φ = 253440000.

The previous prime is 284407187. The next prime is 284407223. The reversal of 284407201 is 102704482.

It can be written as a sum of positive squares in 8 ways, for example, as 8880400 + 275526801 = 2980^2 + 16599^2 .

It is a 3-Lehmer number, since φ(284407201) divides (284407201-1)³.

It is a cyclic number.

It is not a de Polignac number, because 284407201 - 2¹³ = 284399009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 284407201.

It is not an unprimeable number, because it can be changed into a prime (284407241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48951 + ... + 54451.

It is an arithmetic number, because the mean of its divisors is an integer number (19815453).

Almost surely, 2^284407201 is an apocalyptic number.

It is an amenable number.

284407201 is a deficient number, since it is larger than the sum of its proper divisors (32640047).

284407201 is a wasteful number, since it uses less digits than its factorization.

284407201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652.

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 284407201 is about 16864.3766857836. The cubic root of 284407201 is about 657.6278487043.

The spelling of 284407201 in words is "two hundred eighty-four million, four hundred seven thousand, two hundred one".