205355420 has 48 divisors (see below), whose sum is σ = 455347200. Its totient is φ = 77578560.

The previous prime is 205355419. The next prime is 205355441. The reversal of 205355420 is 24553502.

205355420 = 5063² + 5064² + ... + 5070².

It is a self number, because there is not a number n which added to its sum of digits gives 205355420.

It is a congruent number.

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, 166205 + ... + 167435.

It is an arithmetic number, because the mean of its divisors is an integer number (9486400).

Almost surely, 2^205355420 is an apocalyptic number.

205355420 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 205355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227673600).

205355420 is an abundant number, since it is smaller than the sum of its proper divisors (249991780).

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

205355420 is a wasteful number, since it uses less digits than its factorization.

205355420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 205355420 is about 14330.2274929605. The cubic root of 205355420 is about 589.9774194173.

The spelling of 205355420 in words is "two hundred five million, three hundred fifty-five thousand, four hundred twenty".