205266432 has 160 divisors (see below), whose sum is σ = 662314752. Its totient is φ = 55148544.

The previous prime is 205266431. The next prime is 205266461. The reversal of 205266432 is 234662502.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 205266432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205266431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182223 + ... + 183345.

Almost surely, 2^205266432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331157376).

205266432 is an abundant number, since it is smaller than the sum of its proper divisors (457048320).

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

205266432 is a wasteful number, since it uses less digits than its factorization.

205266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 205266432 is about 14327.1222511710. The cubic root of 205266432 is about 589.8921875204.

The spelling of 205266432 in words is "two hundred five million, two hundred sixty-six thousand, four hundred thirty-two".