205590000 has 400 divisors, whose sum is σ = 836732160. Its totient is φ = 42240000.

The previous prime is 205589999. The next prime is 205590029. The reversal of 205590000 is 95502.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2309956 + ... + 2310044.

Almost surely, 2^205590000 is an apocalyptic number.

205590000 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 205590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418366080).

205590000 is an abundant number, since it is smaller than the sum of its proper divisors (631142160).

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

205590000 is a wasteful number, since it uses less digits than its factorization.

205590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 205590000 is about 14338.4099536873. The cubic root of 205590000 is about 590.2019800660.

The spelling of 205590000 in words is "two hundred five million, five hundred ninety thousand".