204874000 has 40 divisors (see below), whose sum is σ = 495390168. Its totient is φ = 81948800.

The previous prime is 204873997. The next prime is 204874001. The reversal of 204874000 is 478402.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 202891536 = 1408^2 + 14244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (204874001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49219 + ... + 53218.

Almost surely, 2^204874000 is an apocalyptic number.

204874000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204874000 is an abundant number, since it is smaller than the sum of its proper divisors (290516168).

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

204874000 is a wasteful number, since it uses less digits than its factorization.

204874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102460 (or 102444 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 204874000 is about 14313.4202760905. The cubic root of 204874000 is about 589.5160255904.

The spelling of 204874000 in words is "two hundred four million, eight hundred seventy-four thousand".