204308000 has 96 divisors (see below), whose sum is σ = 540736560. Its totient is φ = 75417600.

The previous prime is 204307997. The next prime is 204308033. The reversal of 204308000 is 803402.

It can be written as a sum of positive squares in 8 ways, for example, as 9314704 + 194993296 = 3052^2 + 13964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204308000.

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, 50036 + ... + 53964.

Almost surely, 2^204308000 is an apocalyptic number.

204308000 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 204308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270368280).

204308000 is an abundant number, since it is smaller than the sum of its proper divisors (336428560).

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

204308000 is a wasteful number, since it uses less digits than its factorization.

204308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 204308000 is about 14293.6349470665. The cubic root of 204308000 is about 588.9726447594.

The spelling of 204308000 in words is "two hundred four million, three hundred eight thousand".