205315540 has 48 divisors (see below), whose sum is σ = 443963520. Its totient is φ = 79712640.

The previous prime is 205315531. The next prime is 205315541. The reversal of 205315540 is 45513502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205315541) 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, 155001 + ... + 156319.

It is an arithmetic number, because the mean of its divisors is an integer number (9249240).

Almost surely, 2^205315540 is an apocalyptic number.

205315540 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 205315540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221981760).

205315540 is an abundant number, since it is smaller than the sum of its proper divisors (238647980).

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

205315540 is a wasteful number, since it uses less digits than its factorization.

205315540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 205315540 is about 14328.8359610961. The cubic root of 205315540 is about 589.9392257615.

The spelling of 205315540 in words is "two hundred five million, three hundred fifteen thousand, five hundred forty".