205441000 has 32 divisors (see below), whose sum is σ = 480734280. Its totient is φ = 82176000.

The previous prime is 205440979. The next prime is 205441007. The reversal of 205441000 is 144502.

It can be written as a sum of positive squares in 4 ways, for example, as 6687396 + 198753604 = 2586^2 + 14098^2 .

It is not an unprimeable number, because it can be changed into a prime (205441007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101721 + ... + 103720.

Almost surely, 2^205441000 is an apocalyptic number.

205441000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205441000 is an abundant number, since it is smaller than the sum of its proper divisors (275293280).

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

205441000 is a wasteful number, since it uses less digits than its factorization.

205441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205462 (or 205448 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 205441000 is about 14333.2131777909. The cubic root of 205441000 is about 590.0593639396.

Adding to 205441000 its reverse (144502), we get a palindrome (205585502).

The spelling of 205441000 in words is "two hundred five million, four hundred forty-one thousand".