205414320 has 160 divisors (see below), whose sum is σ = 678170880. Its totient is φ = 51287040.

The previous prime is 205414291. The next prime is 205414327. The reversal of 205414320 is 23414502.

It is a super-2 number, since 2×205414320² = 84390085722124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205414327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487710 + ... + 488130.

It is an arithmetic number, because the mean of its divisors is an integer number (4238568).

Almost surely, 2^205414320 is an apocalyptic number.

205414320 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 205414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339085440).

205414320 is an abundant number, since it is smaller than the sum of its proper divisors (472756560).

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

205414320 is a wasteful number, since it uses less digits than its factorization.

205414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

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

The square root of 205414320 is about 14332.2824420955. The cubic root of 205414320 is about 590.0338197601.

Adding to 205414320 its reverse (23414502), we get a palindrome (228828822).

The spelling of 205414320 in words is "two hundred five million, four hundred fourteen thousand, three hundred twenty".