205404150 has 96 divisors (see below), whose sum is σ = 593319168. Its totient is φ = 46051200.

The previous prime is 205404139. The next prime is 205404151. The reversal of 205404150 is 51404502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205404151) 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, 53805 + ... + 57495.

It is an arithmetic number, because the mean of its divisors is an integer number (6180408).

Almost surely, 2^205404150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205404150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296659584).

205404150 is an abundant number, since it is smaller than the sum of its proper divisors (387915018).

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

205404150 is a wasteful number, since it uses less digits than its factorization.

205404150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 205404150 is about 14331.9276442494. The cubic root of 205404150 is about 590.0240821349.

Adding to 205404150 its reverse (51404502), we get a palindrome (256808652).

The spelling of 205404150 in words is "two hundred five million, four hundred four thousand, one hundred fifty".