205931424 has 48 divisors (see below), whose sum is σ = 569026080. Its totient is φ = 65030400.

The previous prime is 205931423. The next prime is 205931431. The reversal of 205931424 is 424139502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 205931391 and 205931400.

It is not an unprimeable number, because it can be changed into a prime (205931423) 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, 54627 + ... + 58274.

It is an arithmetic number, because the mean of its divisors is an integer number (11854710).

Almost surely, 2^205931424 is an apocalyptic number.

205931424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205931424 is an abundant number, since it is smaller than the sum of its proper divisors (363094656).

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

205931424 is a wasteful number, since it uses less digits than its factorization.

205931424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112933 (or 112925 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 205931424 is about 14350.3109373978. The cubic root of 205931424 is about 590.5285161730.

The spelling of 205931424 in words is "two hundred five million, nine hundred thirty-one thousand, four hundred twenty-four".