205940430 has 96 divisors (see below), whose sum is σ = 570810240. Its totient is φ = 51364800.

The previous prime is 205940407. The next prime is 205940447. The reversal of 205940430 is 34049502.

205940430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205940430² = 84822921417169800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205940394 and 205940403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141205 + ... + 142655.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2^205940430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205940430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

205940430 is an abundant number, since it is smaller than the sum of its proper divisors (364869810).

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

205940430 is a wasteful number, since it uses less digits than its factorization.

205940430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205940430 is about 14350.6247250773. The cubic root of 205940430 is about 590.5371245763.

Adding to 205940430 its reverse (34049502), we get a palindrome (239989932).

The spelling of 205940430 in words is "two hundred five million, nine hundred forty thousand, four hundred thirty".