205858000 has 40 divisors (see below), whose sum is σ = 497769480. Its totient is φ = 82342400.

The previous prime is 205857961. The next prime is 205858001. The reversal of 205858000 is 858502.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 203461696 = 1548^2 + 14264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 205858000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205858001) 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, 49465 + ... + 53464.

It is an arithmetic number, because the mean of its divisors is an integer number (12444237).

Almost surely, 2^205858000 is an apocalyptic number.

205858000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205858000 is an abundant number, since it is smaller than the sum of its proper divisors (291911480).

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

205858000 is a wasteful number, since it uses less digits than its factorization.

205858000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102952 (or 102936 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 205858000 is about 14347.7524372286. The cubic root of 205858000 is about 590.4583243277.

The spelling of 205858000 in words is "two hundred five million, eight hundred fifty-eight thousand".