204934464 has 252 divisors, whose sum is σ = 701285364. Its totient is φ = 57028608.

The previous prime is 204934463. The next prime is 204934487. The reversal of 204934464 is 464439402.

204934464 is a `hidden beast` number, since 204 + 9 + 3 + 446 + 4 = 666.

204934464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 70560000 = 11592^2 + 8400^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 (204934463) 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 35 ways as a sum of consecutive naturals, for example, 1495804 + ... + 1495940.

Almost surely, 2^204934464 is an apocalyptic number.

204934464 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 204934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350642682).

204934464 is an abundant number, since it is smaller than the sum of its proper divisors (496350900).

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

204934464 is a wasteful number, since it uses less digits than its factorization.

204934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 204934464 is about 14315.5322639432. The cubic root of 204934464 is about 589.5740140630.

The spelling of 204934464 in words is "two hundred four million, nine hundred thirty-four thousand, four hundred sixty-four".