204680448 has 270 divisors, whose sum is σ = 707067634. Its totient is φ = 56899584.

The previous prime is 204680447. The next prime is 204680471. The reversal of 204680448 is 844086402.

204680448 is a `hidden beast` number, since 204 + 6 + 8 + 0 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 5531904 = 14112^2 + 2352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204680447) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5531886 + ... + 5531922.

Almost surely, 2^204680448 is an apocalyptic number.

204680448 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 204680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353533817).

204680448 is an abundant number, since it is smaller than the sum of its proper divisors (502387186).

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

204680448 is an frugal number, since it uses more digits than its factorization.

204680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 204680448 is about 14306.6574712614. The cubic root of 204680448 is about 589.3303212766.

The spelling of 204680448 in words is "two hundred four million, six hundred eighty thousand, four hundred forty-eight".