205426020 has 96 divisors (see below), whose sum is σ = 589615488. Its totient is φ = 53425152.

The previous prime is 205426019. The next prime is 205426027. The reversal of 205426020 is 20624502.

205426020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205426027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550554 + ... + 550926.

It is an arithmetic number, because the mean of its divisors is an integer number (6141828).

Almost surely, 2^205426020 is an apocalyptic number.

205426020 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 205426020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294807744).

205426020 is an abundant number, since it is smaller than the sum of its proper divisors (384189468).

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

205426020 is a wasteful number, since it uses less digits than its factorization.

205426020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205426020 is about 14332.6906057446. The cubic root of 205426020 is about 590.0450219402.

It can be divided in two parts, 20542 and 6020, that added together give a palindrome (26562).

The spelling of 205426020 in words is "two hundred five million, four hundred twenty-six thousand, twenty".