204964704 has 144 divisors (see below), whose sum is σ = 701326080. Its totient is φ = 55468800.

The previous prime is 204964693. The next prime is 204964709. The reversal of 204964704 is 407469402.

204964704 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (204964709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35629 + ... + 40979.

It is an arithmetic number, because the mean of its divisors is an integer number (4870320).

Almost surely, 2^204964704 is an apocalyptic number.

204964704 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 204964704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350663040).

204964704 is an abundant number, since it is smaller than the sum of its proper divisors (496361376).

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

204964704 is a wasteful number, since it uses less digits than its factorization.

204964704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 204964704 is about 14316.5884204303. The cubic root of 204964704 is about 589.6030116931.

It can be divided in two parts, 20496 and 4704, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 204964704 in words is "two hundred four million, nine hundred sixty-four thousand, seven hundred four".