205312420 has 48 divisors (see below), whose sum is σ = 444019968. Its totient is φ = 79696640.

The previous prime is 205312363. The next prime is 205312433. The reversal of 205312420 is 24213502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185589 + ... + 186691.

It is an arithmetic number, because the mean of its divisors is an integer number (9250416).

Almost surely, 2^205312420 is an apocalyptic number.

205312420 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 205312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222009984).

205312420 is an abundant number, since it is smaller than the sum of its proper divisors (238707548).

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

205312420 is a wasteful number, since it uses less digits than its factorization.

205312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 205312420 is about 14328.7270893126. The cubic root of 205312420 is about 589.9362374835.

Adding to 205312420 its reverse (24213502), we get a palindrome (229525922).

The spelling of 205312420 in words is "two hundred five million, three hundred twelve thousand, four hundred twenty".