205258000 has 80 divisors (see below), whose sum is σ = 525595824. Its totient is φ = 77260800.

The previous prime is 205257979. The next prime is 205258019. The reversal of 205258000 is 852502.

It can be written as a sum of positive squares in 8 ways, for example, as 69488896 + 135769104 = 8336^2 + 11652^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30982 + ... + 37018.

Almost surely, 2^205258000 is an apocalyptic number.

205258000 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 205258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262797912).

205258000 is an abundant number, since it is smaller than the sum of its proper divisors (320337824).

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

205258000 is a wasteful number, since it uses less digits than its factorization.

205258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 205258000 is about 14326.8279810990. The cubic root of 205258000 is about 589.8841101500.

The spelling of 205258000 in words is "two hundred five million, two hundred fifty-eight thousand".