205770432 has 112 divisors (see below), whose sum is σ = 625563392. Its totient is φ = 58475520.

The previous prime is 205770427. The next prime is 205770451. The reversal of 205770432 is 234077502.

205770432 is digitally balanced in base 3, 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 (112).

It is a self number, because there is not a number n which added to its sum of digits gives 205770432.

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, 380082 + ... + 380622.

Almost surely, 2^205770432 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 205770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312781696).

205770432 is an abundant number, since it is smaller than the sum of its proper divisors (419792960).

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

205770432 is a wasteful number, since it uses less digits than its factorization.

205770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

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

The square root of 205770432 is about 14344.7004848481. The cubic root of 205770432 is about 590.3745892810.

The spelling of 205770432 in words is "two hundred five million, seven hundred seventy thousand, four hundred thirty-two".