205433280 has 448 divisors, whose sum is σ = 819302400. Its totient is φ = 48107520.

The previous prime is 205433269. The next prime is 205433341. The reversal of 205433280 is 82334502.

205433280 is a `hidden beast` number, since 205 + 433 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3481891 + ... + 3481949.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^205433280 is an apocalyptic number.

205433280 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 205433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409651200).

205433280 is an abundant number, since it is smaller than the sum of its proper divisors (613869120).

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

205433280 is a wasteful number, since it uses less digits than its factorization.

205433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205433280 is about 14332.9438706778. The cubic root of 205433280 is about 590.0519728227.

Adding to 205433280 its reverse (82334502), we get a palindrome (287767782).

The spelling of 205433280 in words is "two hundred five million, four hundred thirty-three thousand, two hundred eighty".