204465000 has 160 divisors (see below), whose sum is σ = 655665120. Its totient is φ = 53088000.

The previous prime is 204464987. The next prime is 204465011. The reversal of 204465000 is 564402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644842 + ... + 645158.

It is an arithmetic number, because the mean of its divisors is an integer number (4097907).

Almost surely, 2^204465000 is an apocalyptic number.

204465000 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 204465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327832560).

204465000 is an abundant number, since it is smaller than the sum of its proper divisors (451200120).

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

204465000 is a wasteful number, since it uses less digits than its factorization.

204465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 204465000 is about 14299.1258474076. The cubic root of 204465000 is about 589.1234710112.

The spelling of 204465000 in words is "two hundred four million, four hundred sixty-five thousand".