205351420 has 24 divisors (see below), whose sum is σ = 432409824. Its totient is φ = 81917376.

The previous prime is 205351417. The next prime is 205351423. The reversal of 205351420 is 24153502.

It is an interprime number because it is at equal distance from previous prime (205351417) and next prime (205351423).

It is a junction number, because it is equal to n+sod(n) for n = 205351391 and 205351400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205351423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6304 + ... + 21223.

It is an arithmetic number, because the mean of its divisors is an integer number (18017076).

Almost surely, 2^205351420 is an apocalyptic number.

205351420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205351420 is an abundant number, since it is smaller than the sum of its proper divisors (227058404).

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

205351420 is a wasteful number, since it uses less digits than its factorization.

205351420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27909 (or 27907 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 205351420 is about 14330.0879271552. The cubic root of 205351420 is about 589.9735887823.

The spelling of 205351420 in words is "two hundred five million, three hundred fifty-one thousand, four hundred twenty".