205425880 has 128 divisors (see below), whose sum is σ = 537477120. Its totient is φ = 69921280.

The previous prime is 205425877. The next prime is 205425901. The reversal of 205425880 is 88524502.

205425880 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536169 + ... + 536551.

It is an arithmetic number, because the mean of its divisors is an integer number (4199040).

Almost surely, 2^205425880 is an apocalyptic number.

205425880 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 205425880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268738560).

205425880 is an abundant number, since it is smaller than the sum of its proper divisors (332051240).

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

205425880 is a wasteful number, since it uses less digits than its factorization.

205425880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 205425880 is about 14332.6857218039. The cubic root of 205425880 is about 590.0448878995.

The spelling of 205425880 in words is "two hundred five million, four hundred twenty-five thousand, eight hundred eighty".