205432240 has 80 divisors (see below), whose sum is σ = 524216448. Its totient is φ = 74400768.

The previous prime is 205432231. The next prime is 205432243. The reversal of 205432240 is 42234502.

205432240 is digitally balanced in base 2, 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 (80).

It is not an unprimeable number, because it can be changed into a prime (205432243) 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, 53257 + ... + 56983.

Almost surely, 2^205432240 is an apocalyptic number.

205432240 is a gapful number since it is divisible by the number (20) 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 205432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262108224).

205432240 is an abundant number, since it is smaller than the sum of its proper divisors (318784208).

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

205432240 is a wasteful number, since it uses less digits than its factorization.

205432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 205432240 is about 14332.9075905763. The cubic root of 205432240 is about 590.0509771141.

Adding to 205432240 its reverse (42234502), we get a palindrome (247666742).

The spelling of 205432240 in words is "two hundred five million, four hundred thirty-two thousand, two hundred forty".