205257420 has 36 divisors (see below), whose sum is σ = 622614720. Its totient is φ = 54735264.

The previous prime is 205257397. The next prime is 205257421. The reversal of 205257420 is 24752502.

205257420 is a `hidden beast` number, since 20 + 52 + 574 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (205257421) 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 11 ways as a sum of consecutive naturals, for example, 569980 + ... + 570339.

Almost surely, 2^205257420 is an apocalyptic number.

205257420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205257420 is an abundant number, since it is smaller than the sum of its proper divisors (417357300).

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

205257420 is a wasteful number, since it uses less digits than its factorization.

205257420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140334 (or 1140329 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 205257420 is about 14326.8077393396. The cubic root of 205257420 is about 589.8835545353.

The spelling of 205257420 in words is "two hundred five million, two hundred fifty-seven thousand, four hundred twenty".