205420314 has 64 divisors (see below), whose sum is σ = 471702528. Its totient is φ = 59030400.

The previous prime is 205420301. The next prime is 205420363. The reversal of 205420314 is 413024502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198342 + ... + 199374.

It is an arithmetic number, because the mean of its divisors is an integer number (7370352).

Almost surely, 2^205420314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205420314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235851264).

205420314 is an abundant number, since it is smaller than the sum of its proper divisors (266282214).

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

205420314 is a wasteful number, since it uses less digits than its factorization.

205420314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205420314 is about 14332.4915489248. The cubic root of 205420314 is about 590.0395587763.

Adding to 205420314 its reverse (413024502), we get a palindrome (618444816).

The spelling of 205420314 in words is "two hundred five million, four hundred twenty thousand, three hundred fourteen".