205426260 has 144 divisors (see below), whose sum is σ = 692354880. Its totient is φ = 50544000.

The previous prime is 205426253. The next prime is 205426261. The reversal of 205426260 is 62624502.

205426260 is a `hidden beast` number, since 2 + 0 + 542 + 62 + 60 = 666.

205426260 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205426261) 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, 90135 + ... + 92385.

It is an arithmetic number, because the mean of its divisors is an integer number (4808020).

Almost surely, 2^205426260 is an apocalyptic number.

205426260 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 205426260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346177440).

205426260 is an abundant number, since it is smaller than the sum of its proper divisors (486928620).

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

205426260 is a wasteful number, since it uses less digits than its factorization.

205426260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205426260 is about 14332.6989782106. The cubic root of 205426260 is about 590.0452517241.

The spelling of 205426260 in words is "two hundred five million, four hundred twenty-six thousand, two hundred sixty".