205400500 has 24 divisors (see below), whose sum is σ = 448595784. Its totient is φ = 82160000.

The previous prime is 205400473. The next prime is 205400509. The reversal of 205400500 is 5004502.

It is a happy number.

205400500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46539684 + 158860816 = 6822^2 + 12604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205400509) 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, 204901 + ... + 205900.

It is an arithmetic number, because the mean of its divisors is an integer number (18691491).

Almost surely, 2^205400500 is an apocalyptic number.

205400500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205400500 is an abundant number, since it is smaller than the sum of its proper divisors (243195284).

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

205400500 is a wasteful number, since it uses less digits than its factorization.

205400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410820 (or 410808 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 205400500 is about 14331.8003056141. The cubic root of 205400500 is about 590.0205872353.

The spelling of 205400500 in words is "two hundred five million, four hundred thousand, five hundred".