205788460 has 48 divisors (see below), whose sum is σ = 445687200. Its totient is φ = 79778304.

The previous prime is 205788431. The next prime is 205788461. The reversal of 205788460 is 64887502.

It is not an unprimeable number, because it can be changed into a prime (205788461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84946 + ... + 87334.

It is an arithmetic number, because the mean of its divisors is an integer number (9285150).

Almost surely, 2^205788460 is an apocalyptic number.

205788460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205788460 is an abundant number, since it is smaller than the sum of its proper divisors (239898740).

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

205788460 is a wasteful number, since it uses less digits than its factorization.

205788460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 205788460 is about 14345.3288564606. The cubic root of 205788460 is about 590.3918301161.

The spelling of 205788460 in words is "two hundred five million, seven hundred eighty-eight thousand, four hundred sixty".