205414440 has 384 divisors, whose sum is σ = 808980480. Its totient is φ = 40803840.

The previous prime is 205414423. The next prime is 205414441. The reversal of 205414440 is 44414502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205414440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205414441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4370497 + ... + 4370543.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 2^205414440 is an apocalyptic number.

205414440 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 205414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404490240).

205414440 is an abundant number, since it is smaller than the sum of its proper divisors (603566040).

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

205414440 is a wasteful number, since it uses less digits than its factorization.

205414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 205414440 is about 14332.2866284484. The cubic root of 205414440 is about 590.0339346564.

Adding to 205414440 its reverse (44414502), we get a palindrome (249828942).

The spelling of 205414440 in words is "two hundred five million, four hundred fourteen thousand, four hundred forty".