205040544 has 48 divisors (see below), whose sum is σ = 544737312. Its totient is φ = 67520768.

The previous prime is 205040513. The next prime is 205040579. The reversal of 205040544 is 445040502.

205040544 is digitally balanced in base 3, because in such base 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4899 + ... + 20834.

It is an arithmetic number, because the mean of its divisors is an integer number (11348694).

Almost surely, 2^205040544 is an apocalyptic number.

205040544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205040544 is an abundant number, since it is smaller than the sum of its proper divisors (339696768).

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

205040544 is a wasteful number, since it uses less digits than its factorization.

205040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25829 (or 25821 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 205040544 is about 14319.2368511733. The cubic root of 205040544 is about 589.6757233641.

The spelling of 205040544 in words is "two hundred five million, forty thousand, five hundred forty-four".