204907248 has 240 divisors, whose sum is σ = 743841280. Its totient is φ = 51134976.

The previous prime is 204907237. The next prime is 204907249. The reversal of 204907248 is 842709402.

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 (204907249) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 248565 + ... + 249387.

Almost surely, 2^204907248 is an apocalyptic number.

204907248 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 204907248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371920640).

204907248 is an abundant number, since it is smaller than the sum of its proper divisors (538934032).

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

204907248 is a wasteful number, since it uses less digits than its factorization.

204907248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 867 counting only the distinct ones).

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

The square root of 204907248 is about 14314.5816564788. The cubic root of 204907248 is about 589.5479137569.

The spelling of 204907248 in words is "two hundred four million, nine hundred seven thousand, two hundred forty-eight".