204882048 has 192 divisors, whose sum is σ = 699491520. Its totient is φ = 58475520.

The previous prime is 204882037. The next prime is 204882059. The reversal of 204882048 is 840288402.

It is an interprime number because it is at equal distance from previous prime (204882037) and next prime (204882059).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217258 + ... + 218198.

It is an arithmetic number, because the mean of its divisors is an integer number (3643185).

Almost surely, 2^204882048 is an apocalyptic number.

204882048 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 204882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349745760).

204882048 is an abundant number, since it is smaller than the sum of its proper divisors (494609472).

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

204882048 is an frugal number, since it uses more digits than its factorization.

204882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 204882048 is about 14313.7014080915. The cubic root of 204882048 is about 589.5237447460.

The spelling of 204882048 in words is "two hundred four million, eight hundred eighty-two thousand, forty-eight".