205432832 has 72 divisors (see below), whose sum is σ = 452047050. Its totient is φ = 93265920.

The previous prime is 205432819. The next prime is 205432859. The reversal of 205432832 is 238234502.

It can be written as a sum of positive squares in only one way, i.e., 169624576 + 35808256 = 13024^2 + 5984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205432795 and 205432804.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247394 + ... + 248222.

Almost surely, 2^205432832 is an apocalyptic number.

205432832 is a gapful number since it is divisible by the number (22) 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 205432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226023525).

205432832 is an abundant number, since it is smaller than the sum of its proper divisors (246614218).

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

205432832 is an equidigital number, since it uses as much as digits as its factorization.

205432832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 205432832 is about 14332.9282423376. The cubic root of 205432832 is about 590.0515439025.

The spelling of 205432832 in words is "two hundred five million, four hundred thirty-two thousand, eight hundred thirty-two".