205040502 has 96 divisors (see below), whose sum is σ = 487480032. Its totient is φ = 62042112.

The previous prime is 205040491. The next prime is 205040503.

205040502 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205040503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1496578 + ... + 1496714.

It is an arithmetic number, because the mean of its divisors is an integer number (5077917).

Almost surely, 2^205040502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205040502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243740016).

205040502 is an abundant number, since it is smaller than the sum of its proper divisors (282439530).

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

205040502 is a wasteful number, since it uses less digits than its factorization.

205040502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205040502 is about 14319.2353846146. The cubic root of 205040502 is about 589.6756831015.

The spelling of 205040502 in words is "two hundred five million, forty thousand, five hundred two".