204048864 has 72 divisors (see below), whose sum is σ = 583429392. Its totient is φ = 67645440.

The previous prime is 204048833. The next prime is 204048881. The reversal of 204048864 is 468840402.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53749 + ... + 57419.

It is an arithmetic number, because the mean of its divisors is an integer number (8103186).

Almost surely, 2^204048864 is an apocalyptic number.

204048864 is a gapful number since it is divisible by the number (24) 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 204048864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291714696).

204048864 is an abundant number, since it is smaller than the sum of its proper divisors (379380528).

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

204048864 is a wasteful number, since it uses less digits than its factorization.

204048864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3869 counting only the distinct ones).

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

The square root of 204048864 is about 14284.5673368149. The cubic root of 204048864 is about 588.7235297172.

The spelling of 204048864 in words is "two hundred four million, forty-eight thousand, eight hundred sixty-four".