204204000 has 768 divisors, whose sum is σ = 951035904. Its totient is φ = 36864000.

The previous prime is 204203981. The next prime is 204204031. The reversal of 204204000 is 402402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12011992 + ... + 12012008.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^204204000 is an apocalyptic number.

204204000 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 204204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

204204000 is an abundant number, since it is smaller than the sum of its proper divisors (746831904).

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

204204000 is a wasteful number, since it uses less digits than its factorization.

204204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 204204000 is about 14289.9965010493. The cubic root of 204204000 is about 588.8726918267.

Adding to 204204000 its reverse (402402), we get a palindrome (204606402).

The spelling of 204204000 in words is "two hundred four million, two hundred four thousand".