205029040 has 80 divisors (see below), whose sum is σ = 502824960. Its totient is φ = 77633280.

The previous prime is 205029001. The next prime is 205029053. The reversal of 205029040 is 40920502.

It is a happy number.

205029040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115681 + ... + 117439.

It is an arithmetic number, because the mean of its divisors is an integer number (6285312).

Almost surely, 2^205029040 is an apocalyptic number.

205029040 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 205029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251412480).

205029040 is an abundant number, since it is smaller than the sum of its proper divisors (297795920).

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

205029040 is a wasteful number, since it uses less digits than its factorization.

205029040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 205029040 is about 14318.8351481536. The cubic root of 205029040 is about 589.6646950471.

Adding to 205029040 its reverse (40920502), we get a palindrome (245949542).

The spelling of 205029040 in words is "two hundred five million, twenty-nine thousand, forty".