205302432 has 48 divisors (see below), whose sum is σ = 541350432. Its totient is φ = 68125440.

The previous prime is 205302403. The next prime is 205302437. The reversal of 205302432 is 234203502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×205302432² = 84298177170229248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205302399 and 205302408.

It is not an unprimeable number, because it can be changed into a prime (205302437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17082 + ... + 26502.

It is an arithmetic number, because the mean of its divisors is an integer number (11278134).

Almost surely, 2^205302432 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 205302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270675216).

205302432 is an abundant number, since it is smaller than the sum of its proper divisors (336048000).

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

205302432 is a wasteful number, since it uses less digits than its factorization.

205302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 205302432 is about 14328.3785544632. The cubic root of 205302432 is about 589.9266709593.

Adding to 205302432 its reverse (234203502), we get a palindrome (439505934).

The spelling of 205302432 in words is "two hundred five million, three hundred two thousand, four hundred thirty-two".