206045280 has 144 divisors (see below), whose sum is σ = 803615904. Its totient is φ = 47093760.

The previous prime is 206045237. The next prime is 206045297. The reversal of 206045280 is 82540602.

206045280 is a `hidden beast` number, since 2 + 0 + 604 + 52 + 8 + 0 = 666.

206045280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141 + ... + 20300.

It is an arithmetic number, because the mean of its divisors is an integer number (5580666).

Almost surely, 2^206045280 is an apocalyptic number.

206045280 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 206045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401807952).

206045280 is an abundant number, since it is smaller than the sum of its proper divisors (597570624).

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

206045280 is a wasteful number, since it uses less digits than its factorization.

206045280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20469 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 206045280 is about 14354.2774112806. The cubic root of 206045280 is about 590.6373271972.

Adding to 206045280 its reverse (82540602), we get a palindrome (288585882).

The spelling of 206045280 in words is "two hundred six million, forty-five thousand, two hundred eighty".