205034424 has 64 divisors (see below), whose sum is σ = 597792000. Its totient is φ = 58578912.

The previous prime is 205034419. The next prime is 205034441. The reversal of 205034424 is 424430502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 205034394 and 205034403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4222 + ... + 20685.

It is an arithmetic number, because the mean of its divisors is an integer number (9340500).

Almost surely, 2^205034424 is an apocalyptic number.

205034424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205034424 is an abundant number, since it is smaller than the sum of its proper divisors (392757576).

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

205034424 is a wasteful number, since it uses less digits than its factorization.

205034424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24937 (or 24919 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 205034424 is about 14319.0231510393. The cubic root of 205034424 is about 589.6698564735.

Adding to 205034424 its reverse (424430502), we get a palindrome (629464926).

The spelling of 205034424 in words is "two hundred five million, thirty-four thousand, four hundred twenty-four".