204472320 has 168 divisors, whose sum is σ = 704642736. Its totient is φ = 50331648.

The previous prime is 204472313. The next prime is 204472321. The reversal of 204472320 is 23274402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 832 × 320 × 768.

It is not an unprimeable number, because it can be changed into a prime (204472321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15728634 + ... + 15728646.

It is an arithmetic number, because the mean of its divisors is an integer number (4194302).

Almost surely, 2^204472320 is an apocalyptic number.

204472320 is a gapful number since it is divisible by the number (20) 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 204472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352321368).

204472320 is an abundant number, since it is smaller than the sum of its proper divisors (500170416).

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

204472320 is an frugal number, since it uses more digits than its factorization.

204472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 204472320 is about 14299.3818048194. The cubic root of 204472320 is about 589.1305012810.

The spelling of 204472320 in words is "two hundred four million, four hundred seventy-two thousand, three hundred twenty".