205024320 has 168 divisors, whose sum is σ = 710497944. Its totient is φ = 54263808.

The previous prime is 205024291. The next prime is 205024321. The reversal of 205024320 is 23420502.

It can be written as a sum of positive squares in 4 ways, for example, as 42614784 + 162409536 = 6528^2 + 12744^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 205024293 and 205024302.

It is not an unprimeable number, because it can be changed into a prime (205024321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740022 + ... + 740298.

Almost surely, 2^205024320 is an apocalyptic number.

205024320 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 205024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355248972).

205024320 is an abundant number, since it is smaller than the sum of its proper divisors (505473624).

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

205024320 is a wasteful number, since it uses less digits than its factorization.

205024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205024320 is about 14318.6703293288. The cubic root of 205024320 is about 589.6601700966.

Adding to 205024320 its reverse (23420502), we get a palindrome (228444822).

The spelling of 205024320 in words is "two hundred five million, twenty-four thousand, three hundred twenty".