205452384 has 24 divisors (see below), whose sum is σ = 539312760. Its totient is φ = 68484096.

The previous prime is 205452383. The next prime is 205452389. The reversal of 205452384 is 483254502.

205452384 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205452383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1069969 + ... + 1070160.

It is an arithmetic number, because the mean of its divisors is an integer number (22471365).

Almost surely, 2^205452384 is an apocalyptic number.

205452384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205452384 is an abundant number, since it is smaller than the sum of its proper divisors (333860376).

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

205452384 is a wasteful number, since it uses less digits than its factorization.

205452384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140142 (or 2140134 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 205452384 is about 14333.6102918979. The cubic root of 205452384 is about 590.0702626271.

The spelling of 205452384 in words is "two hundred five million, four hundred fifty-two thousand, three hundred eighty-four".