205304000 has 112 divisors (see below), whose sum is σ = 554894496. Its totient is φ = 74624000.

The previous prime is 205303993. The next prime is 205304017. The reversal of 205304000 is 403502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86834 + ... + 89166.

Almost surely, 2^205304000 is an apocalyptic number.

205304000 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 205304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277447248).

205304000 is an abundant number, since it is smaller than the sum of its proper divisors (349590496).

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

205304000 is a wasteful number, since it uses less digits than its factorization.

205304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 205304000 is about 14328.4332709477. The cubic root of 205304000 is about 589.9281728131.

Adding to 205304000 its reverse (403502), we get a palindrome (205707502).

The spelling of 205304000 in words is "two hundred five million, three hundred four thousand".