205413500 has 48 divisors (see below), whose sum is σ = 458220672. Its totient is φ = 80408000.

The previous prime is 205413487. The next prime is 205413539. The reversal of 205413500 is 5314502.

205413500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19130 + ... + 27870.

It is an arithmetic number, because the mean of its divisors is an integer number (9546264).

Almost surely, 2^205413500 is an apocalyptic number.

205413500 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 205413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229110336).

205413500 is an abundant number, since it is smaller than the sum of its proper divisors (252807172).

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

205413500 is a wasteful number, since it uses less digits than its factorization.

205413500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8807 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205413500 is about 14332.2538353184. The cubic root of 205413500 is about 590.0330346341.

The spelling of 205413500 in words is "two hundred five million, four hundred thirteen thousand, five hundred".