204904832 has 64 divisors (see below), whose sum is σ = 447800400. Its totient is φ = 92620800.

The previous prime is 204904831. The next prime is 204904841. The reversal of 204904832 is 238409402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204904831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 378482 + ... + 379022.

Almost surely, 2^204904832 is an apocalyptic number.

204904832 is a gapful number since it is divisible by the number (22) 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 204904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223900200).

204904832 is an abundant number, since it is smaller than the sum of its proper divisors (242895568).

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

204904832 is a wasteful number, since it uses less digits than its factorization.

204904832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 204904832 is about 14314.4972667572. The cubic root of 204904832 is about 589.5455966868.

The spelling of 204904832 in words is "two hundred four million, nine hundred four thousand, eight hundred thirty-two".