205772430 has 16 divisors (see below), whose sum is σ = 493853904. Its totient is φ = 54872640.

The previous prime is 205772387. The next prime is 205772443. The reversal of 205772430 is 34277502.

205772430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 6859081 = 205772430 / (2 + 0 + 5 + 7 + 7 + 2 + 4 + 3 + 0).

It is a congruent number.

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, 3429511 + ... + 3429570.

It is an arithmetic number, because the mean of its divisors is an integer number (30865869).

Almost surely, 2^205772430 is an apocalyptic number.

205772430 is an abundant number, since it is smaller than the sum of its proper divisors (288081474).

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

205772430 is a wasteful number, since it uses less digits than its factorization.

205772430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859091.

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 205772430 is about 14344.7701271230. The cubic root of 205772430 is about 590.3765000910.

The spelling of 205772430 in words is "two hundred five million, seven hundred seventy-two thousand, four hundred thirty".