204716820 has 192 divisors, whose sum is σ = 725630976. Its totient is φ = 41886720.

The previous prime is 204716791. The next prime is 204716857. The reversal of 204716820 is 28617402.

204716820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336957 + ... + 337563.

It is an arithmetic number, because the mean of its divisors is an integer number (3779328).

Almost surely, 2^204716820 is an apocalyptic number.

204716820 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 204716820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362815488).

204716820 is an abundant number, since it is smaller than the sum of its proper divisors (520914156).

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

204716820 is a wasteful number, since it uses less digits than its factorization.

204716820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 204716820 is about 14307.9285712503. The cubic root of 204716820 is about 589.3652274814.

The spelling of 204716820 in words is "two hundred four million, seven hundred sixteen thousand, eight hundred twenty".