205353540 has 144 divisors (see below), whose sum is σ = 753846912. Its totient is φ = 44172288.

The previous prime is 205353521. The next prime is 205353541. The reversal of 205353540 is 45353502.

205353540 is a `hidden beast` number, since 20 + 53 + 53 + 540 = 666.

It is not an unprimeable number, because it can be changed into a prime (205353541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16627 + ... + 26213.

It is an arithmetic number, because the mean of its divisors is an integer number (5235048).

Almost surely, 2^205353540 is an apocalyptic number.

205353540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376923456).

205353540 is an abundant number, since it is smaller than the sum of its proper divisors (548493372).

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

205353540 is a wasteful number, since it uses less digits than its factorization.

205353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 205353540 is about 14330.1618972013. The cubic root of 205353540 is about 589.9756190251.

The spelling of 205353540 in words is "two hundred five million, three hundred fifty-three thousand, five hundred forty".