206049280 has 52 divisors (see below), whose sum is σ = 494507052. Its totient is φ = 82411520.

The previous prime is 206049271. The next prime is 206049287. The reversal of 206049280 is 82940602.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 110166016 = 9792^2 + 10496^2 .

It is not an unprimeable number, because it can be changed into a prime (206049287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15450 + ... + 25510.

It is an arithmetic number, because the mean of its divisors is an integer number (9509751).

Almost surely, 2^206049280 is an apocalyptic number.

206049280 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 206049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247253526).

206049280 is an abundant number, since it is smaller than the sum of its proper divisors (288457772).

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

206049280 is an equidigital number, since it uses as much as digits as its factorization.

206049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 206049280 is about 14354.4167418952. The cubic root of 206049280 is about 590.6411492276.

Adding to 206049280 its reverse (82940602), we get a palindrome (288989882).

The spelling of 206049280 in words is "two hundred six million, forty-nine thousand, two hundred eighty".