205441340 has 96 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 72172800.

The previous prime is 205441339. The next prime is 205441361. The reversal of 205441340 is 43144502.

It is a super-2 number, since 2×205441340² = 84412288361991200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572081 + ... + 572439.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^205441340 is an apocalyptic number.

205441340 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 205441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

205441340 is an abundant number, since it is smaller than the sum of its proper divisors (282269380).

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

205441340 is a wasteful number, since it uses less digits than its factorization.

205441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 205441340 is about 14333.2250383506. The cubic root of 205441340 is about 590.0596894509.

Adding to 205441340 its reverse (43144502), we get a palindrome (248585842).

The spelling of 205441340 in words is "two hundred five million, four hundred forty-one thousand, three hundred forty".