204947820 has 480 divisors, whose sum is σ = 843042816. Its totient is φ = 40435200.

The previous prime is 204947803. The next prime is 204947837. The reversal of 204947820 is 28749402.

204947820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204947803) and next prime (204947837).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3866914 + ... + 3866966.

Almost surely, 2^204947820 is an apocalyptic number.

204947820 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 204947820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421521408).

204947820 is an abundant number, since it is smaller than the sum of its proper divisors (638094996).

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

204947820 is a wasteful number, since it uses less digits than its factorization.

204947820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 204947820 is about 14315.9987426655. The cubic root of 204947820 is about 589.5868217013.

Adding to 204947820 its sum of digits (36), we get a square (204947856 = 14316²).

The spelling of 204947820 in words is "two hundred four million, nine hundred forty-seven thousand, eight hundred twenty".