204345000 has 240 divisors, whose sum is σ = 731016000. Its totient is φ = 51408000.

The previous prime is 204344999. The next prime is 204345013. The reversal of 204345000 is 543402.

It is a happy number.

It is a super-3 number, since 3×204345000³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 854881 + ... + 855119.

It is an arithmetic number, because the mean of its divisors is an integer number (3045900).

Almost surely, 2^204345000 is an apocalyptic number.

204345000 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 204345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365508000).

204345000 is an abundant number, since it is smaller than the sum of its proper divisors (526671000).

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

204345000 is a wasteful number, since it uses less digits than its factorization.

204345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

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

The square root of 204345000 is about 14294.9291708634. The cubic root of 204345000 is about 589.0081967569.

Adding to 204345000 its reverse (543402), we get a palindrome (204888402).

The spelling of 204345000 in words is "two hundred four million, three hundred forty-five thousand".