204216000 has 224 divisors, whose sum is σ = 689774592. Its totient is φ = 53222400.

The previous prime is 204215959. The next prime is 204216013. The reversal of 204216000 is 612402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607937 + ... + 1608063.

Almost surely, 2^204216000 is an apocalyptic number.

204216000 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 204216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344887296).

204216000 is an abundant number, since it is smaller than the sum of its proper divisors (485558592).

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

204216000 is a wasteful number, since it uses less digits than its factorization.

204216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204216000 is about 14290.4163690216. The cubic root of 204216000 is about 588.8842265891.

Adding to 204216000 its reverse (612402), we get a palindrome (204828402).

The spelling of 204216000 in words is "two hundred four million, two hundred sixteen thousand".