205424120 has 48 divisors (see below), whose sum is σ = 508054680. Its totient is φ = 74697920.

The previous prime is 205424083. The next prime is 205424137. The reversal of 205424120 is 21424502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205424092 and 205424101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16382 + ... + 26061.

Almost surely, 2^205424120 is an apocalyptic number.

205424120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205424120 is an abundant number, since it is smaller than the sum of its proper divisors (302630560).

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

205424120 is a wasteful number, since it uses less digits than its factorization.

205424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42476 (or 42461 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 205424120 is about 14332.6243235494. The cubic root of 205424120 is about 590.0432028117.

Adding to 205424120 its reverse (21424502), we get a palindrome (226848622).

The spelling of 205424120 in words is "two hundred five million, four hundred twenty-four thousand, one hundred twenty".