205398000 has 120 divisors (see below), whose sum is σ = 717449616. Its totient is φ = 54768000.

The previous prime is 205397963. The next prime is 205398007. The reversal of 205398000 is 893502.

205398000 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 (120).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205398007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12295 + ... + 23705.

Almost surely, 2^205398000 is an apocalyptic number.

205398000 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 205398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358724808).

205398000 is an abundant number, since it is smaller than the sum of its proper divisors (512051616).

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

205398000 is a wasteful number, since it uses less digits than its factorization.

205398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 205398000 is about 14331.7130867179. The cubic root of 205398000 is about 590.0181934445.

The spelling of 205398000 in words is "two hundred five million, three hundred ninety-eight thousand".