204579648 has 224 divisors, whose sum is σ = 740785920. Its totient is φ = 53913600.

The previous prime is 204579647. The next prime is 204579671. The reversal of 204579648 is 846975402.

It is a happy number.

204579648 is digitally balanced in base 3, because in such base 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 (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204579647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156598 + ... + 157898.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^204579648 is an apocalyptic number.

204579648 is a gapful number since it is divisible by the number (28) 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 204579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370392960).

204579648 is an abundant number, since it is smaller than the sum of its proper divisors (536206272).

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

204579648 is a wasteful number, since it uses less digits than its factorization.

204579648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 204579648 is about 14303.1342019852. The cubic root of 204579648 is about 589.2335619112.

The spelling of 204579648 in words is "two hundred four million, five hundred seventy-nine thousand, six hundred forty-eight".