205431040 has 72 divisors (see below), whose sum is σ = 518031360. Its totient is φ = 77838336.

The previous prime is 205431011. The next prime is 205431049. The reversal of 205431040 is 40134502.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 205430999 and 205431017.

It is not an unprimeable number, because it can be changed into a prime (205431049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20097 + ... + 28543.

It is an arithmetic number, because the mean of its divisors is an integer number (7194880).

Almost surely, 2^205431040 is an apocalyptic number.

205431040 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 205431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

205431040 is an abundant number, since it is smaller than the sum of its proper divisors (312600320).

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

205431040 is an equidigital number, since it uses as much as digits as its factorization.

205431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 205431040 is about 14332.8657288066. The cubic root of 205431040 is about 590.0498282153.

Adding to 205431040 its reverse (40134502), we get a palindrome (245565542).

The spelling of 205431040 in words is "two hundred five million, four hundred thirty-one thousand, forty".