205355440 has 40 divisors (see below), whose sum is σ = 478304208. Its totient is φ = 81995520.

The previous prime is 205355419. The next prime is 205355441. The reversal of 205355440 is 44553502.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 205355399 and 205355408.

It is not an unprimeable number, because it can be changed into a prime (205355441) 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, 50275 + ... + 54205.

Almost surely, 2^205355440 is an apocalyptic number.

205355440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205355440 is an abundant number, since it is smaller than the sum of its proper divisors (272948768).

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

205355440 is a wasteful number, since it uses less digits than its factorization.

205355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4591 counting only the distinct ones).

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

The square root of 205355440 is about 14330.2281907861. The cubic root of 205355440 is about 589.9774385704.

The spelling of 205355440 in words is "two hundred five million, three hundred fifty-five thousand, four hundred forty".