205461072 has 60 divisors (see below), whose sum is σ = 585876564. Its totient is φ = 67192320.

The previous prime is 205461071. The next prime is 205461119. The reversal of 205461072 is 270164502.

It can be written as a sum of positive squares in 2 ways, for example, as 186486336 + 18974736 = 13656^2 + 4356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205461071) by changing a digit.

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, 5829 + ... + 21092.

Almost surely, 2^205461072 is an apocalyptic number.

It is an amenable number.

205461072 is an abundant number, since it is smaller than the sum of its proper divisors (380415492).

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

205461072 is a wasteful number, since it uses less digits than its factorization.

205461072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26988 (or 26979 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 205461072 is about 14333.9133526054. The cubic root of 205461072 is about 590.0785799771.

The spelling of 205461072 in words is "two hundred five million, four hundred sixty-one thousand, seventy-two".