204252048 has 360 divisors, whose sum is σ = 778789440. Its totient is φ = 48522240.

The previous prime is 204252011. The next prime is 204252053. The reversal of 204252048 is 840252402.

It is a happy number.

It is a super-2 number, since 2×204252048² = 83437798224388608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1873818 + ... + 1873926.

It is an arithmetic number, because the mean of its divisors is an integer number (2163304).

Almost surely, 2^204252048 is an apocalyptic number.

204252048 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 204252048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389394720).

204252048 is an abundant number, since it is smaller than the sum of its proper divisors (574537392).

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

204252048 is a wasteful number, since it uses less digits than its factorization.

204252048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 204252048 is about 14291.6775782271. The cubic root of 204252048 is about 588.9188742982.

It can be divided in two parts, 204 and 252048, that added together give a palindrome (252252).

The spelling of 204252048 in words is "two hundred four million, two hundred fifty-two thousand, forty-eight".