205553440 has 24 divisors (see below), whose sum is σ = 485620380. Its totient is φ = 82221312.

The previous prime is 205553429. The next prime is 205553471. The reversal of 205553440 is 44355502.

It can be written as a sum of positive squares in 2 ways, for example, as 196336144 + 9217296 = 14012^2 + 3036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205553399 and 205553408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642195 + ... + 642514.

Almost surely, 2^205553440 is an apocalyptic number.

205553440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205553440 is an abundant number, since it is smaller than the sum of its proper divisors (280066940).

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

205553440 is a wasteful number, since it uses less digits than its factorization.

205553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284724 (or 1284716 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 205553440 is about 14337.1349997132. The cubic root of 205553440 is about 590.1669928527.

The spelling of 205553440 in words is "two hundred five million, five hundred fifty-three thousand, four hundred forty".