204416000 has 88 divisors (see below), whose sum is σ = 510292536. Its totient is φ = 81715200.

The previous prime is 204415951. The next prime is 204416039. The reversal of 204416000 is 614402.

It can be written as a sum of positive squares in 4 ways, for example, as 27206656 + 177209344 = 5216^2 + 13312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204416000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127202 + ... + 128798.

Almost surely, 2^204416000 is an apocalyptic number.

204416000 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 204416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255146268).

204416000 is an abundant number, since it is smaller than the sum of its proper divisors (305876536).

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

204416000 is an equidigital number, since it uses as much as digits as its factorization.

204416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1604 counting only the distinct ones).

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

The square root of 204416000 is about 14297.4123532897. The cubic root of 204416000 is about 589.0764061405.

The spelling of 204416000 in words is "two hundred four million, four hundred sixteen thousand".