205411000 has 128 divisors (see below), whose sum is σ = 522624960. Its totient is φ = 75264000.

The previous prime is 205410971. The next prime is 205411027. The reversal of 205411000 is 114502.

205411000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730860 + ... + 731140.

Almost surely, 2^205411000 is an apocalyptic number.

205411000 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 205411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261312480).

205411000 is an abundant number, since it is smaller than the sum of its proper divisors (317213960).

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

205411000 is a wasteful number, since it uses less digits than its factorization.

205411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 205411000 is about 14332.1666191822. The cubic root of 205411000 is about 590.0306409443.

Adding to 205411000 its reverse (114502), we get a palindrome (205525502).

The spelling of 205411000 in words is "two hundred five million, four hundred eleven thousand".