205928420 has 24 divisors (see below), whose sum is σ = 447363000. Its totient is φ = 79530752.

The previous prime is 205928417. The next prime is 205928423. The reversal of 205928420 is 24829502.

205928420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205928417) and next prime (205928423).

It can be written as a sum of positive squares in 4 ways, for example, as 79995136 + 125933284 = 8944^2 + 11222^2 .

It is not an unprimeable number, because it can be changed into a prime (205928423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176945 + ... + 178104.

It is an arithmetic number, because the mean of its divisors is an integer number (18640125).

Almost surely, 2^205928420 is an apocalyptic number.

205928420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205928420 is an abundant number, since it is smaller than the sum of its proper divisors (241434580).

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

205928420 is a wasteful number, since it uses less digits than its factorization.

205928420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355087 (or 355085 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 205928420 is about 14350.2062702945. The cubic root of 205928420 is about 590.5256447377.

The spelling of 205928420 in words is "two hundred five million, nine hundred twenty-eight thousand, four hundred twenty".