205240420 has 144 divisors (see below), whose sum is σ = 556174080. Its totient is φ = 62899200.

The previous prime is 205240411. The next prime is 205240421. The reversal of 205240420 is 24042502.

205240420 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 not an unprimeable number, because it can be changed into a prime (205240421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 851500 + ... + 851740.

It is an arithmetic number, because the mean of its divisors is an integer number (3862320).

Almost surely, 2^205240420 is an apocalyptic number.

205240420 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 205240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

205240420 is an abundant number, since it is smaller than the sum of its proper divisors (350933660).

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

205240420 is a wasteful number, since it uses less digits than its factorization.

205240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 205240420 is about 14326.2144336876. The cubic root of 205240420 is about 589.8672688109.

Adding to 205240420 its reverse (24042502), we get a palindrome (229282922).

The spelling of 205240420 in words is "two hundred five million, two hundred forty thousand, four hundred twenty".