205730440 has 32 divisors (see below), whose sum is σ = 468478080. Its totient is φ = 81299392.

The previous prime is 205730431. The next prime is 205730513. The reversal of 205730440 is 44037502.

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, 27664 + ... + 34303.

It is an arithmetic number, because the mean of its divisors is an integer number (14639940).

Almost surely, 2^205730440 is an apocalyptic number.

205730440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205730440 is an abundant number, since it is smaller than the sum of its proper divisors (262747640).

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

205730440 is a wasteful number, since it uses less digits than its factorization.

205730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62061 (or 62057 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 205730440 is about 14343.3064528372. The cubic root of 205730440 is about 590.3363398751.

Adding to 205730440 its reverse (44037502), we get a palindrome (249767942).

The spelling of 205730440 in words is "two hundred five million, seven hundred thirty thousand, four hundred forty".