204990000 has 100 divisors (see below), whose sum is σ = 661831896. Its totient is φ = 54656000.

The previous prime is 204989957. The next prime is 204990089. The reversal of 204990000 is 99402.

204990000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26584 + ... + 33416.

Almost surely, 2^204990000 is an apocalyptic number.

204990000 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 204990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330915948).

204990000 is an abundant number, since it is smaller than the sum of its proper divisors (456841896).

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

204990000 is an equidigital number, since it uses as much as digits as its factorization.

204990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 204990000 is about 14317.4718438696. The cubic root of 204990000 is about 589.6272662500.

The spelling of 204990000 in words is "two hundred four million, nine hundred ninety thousand".