205434020 has 48 divisors (see below), whose sum is σ = 472385088. Its totient is φ = 74424960.

The previous prime is 205434007. The next prime is 205434043. The reversal of 205434020 is 20434502.

205434020 is digitally balanced in base 2, 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 junction number, because it is equal to n+sod(n) for n = 205433983 and 205434001.

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, 62867 + ... + 66053.

It is an arithmetic number, because the mean of its divisors is an integer number (9841356).

Almost surely, 2^205434020 is an apocalyptic number.

205434020 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 205434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236192544).

205434020 is an abundant number, since it is smaller than the sum of its proper divisors (266951068).

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

205434020 is a wasteful number, since it uses less digits than its factorization.

205434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 205434020 is about 14332.9696853095. The cubic root of 205434020 is about 590.0526813057.

Adding to 205434020 its reverse (20434502), we get a palindrome (225868522).

The spelling of 205434020 in words is "two hundred five million, four hundred thirty-four thousand, twenty".