205044000 has 192 divisors, whose sum is σ = 767999232. Its totient is φ = 46848000.

The previous prime is 205043999. The next prime is 205044019. The reversal of 205044000 is 440502.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 82780 + ... + 85220.

It is an arithmetic number, because the mean of its divisors is an integer number (3999996).

Almost surely, 2^205044000 is an apocalyptic number.

205044000 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 205044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383999616).

205044000 is an abundant number, since it is smaller than the sum of its proper divisors (562955232).

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

205044000 is a wasteful number, since it uses less digits than its factorization.

205044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 205044000 is about 14319.3575274870. The cubic root of 205044000 is about 589.6790363802.

Adding to 205044000 its reverse (440502), we get a palindrome (205484502).

The spelling of 205044000 in words is "two hundred five million, forty-four thousand".