205332480 has 168 divisors, whose sum is σ = 713053692. Its totient is φ = 54657024.

The previous prime is 205332467. The next prime is 205332481. The reversal of 205332480 is 84233502.

It can be written as a sum of positive squares in 2 ways, for example, as 185831424 + 19501056 = 13632^2 + 4416^2 .

It is a super-2 number, since 2×205332480² = 84322854685900800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (205332481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368362 + ... + 368918.

Almost surely, 2^205332480 is an apocalyptic number.

205332480 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 205332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356526846).

205332480 is an abundant number, since it is smaller than the sum of its proper divisors (507721212).

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

205332480 is an equidigital number, since it uses as much as digits as its factorization.

205332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205332480 is about 14329.4270646108. The cubic root of 205332480 is about 589.9554500500.

Adding to 205332480 its reverse (84233502), we get a palindrome (289565982).

The spelling of 205332480 in words is "two hundred five million, three hundred thirty-two thousand, four hundred eighty".