204424704 has 240 divisors, whose sum is σ = 667077840. Its totient is φ = 59719680.

The previous prime is 204424697. The next prime is 204424789. The reversal of 204424704 is 407424402.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1875402 + ... + 1875510.

It is an arithmetic number, because the mean of its divisors is an integer number (2779491).

Almost surely, 2^204424704 is an apocalyptic number.

204424704 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 204424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333538920).

204424704 is an abundant number, since it is smaller than the sum of its proper divisors (462653136).

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

204424704 is a wasteful number, since it uses less digits than its factorization.

204424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 204424704 is about 14297.7167407947. The cubic root of 204424704 is about 589.0847669476.

The spelling of 204424704 in words is "two hundred four million, four hundred twenty-four thousand, seven hundred four".