204840480 has 192 divisors, whose sum is σ = 736138368. Its totient is φ = 47431680.

The previous prime is 204840439. The next prime is 204840481. The reversal of 204840480 is 84048402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (204840481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105115 + ... + 107045.

It is an arithmetic number, because the mean of its divisors is an integer number (3834054).

Almost surely, 2^204840480 is an apocalyptic number.

204840480 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 204840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368069184).

204840480 is an abundant number, since it is smaller than the sum of its proper divisors (531297888).

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

204840480 is a wasteful number, since it uses less digits than its factorization.

204840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 204840480 is about 14312.2492991144. The cubic root of 204840480 is about 589.4838730561.

Adding to 204840480 its reverse (84048402), we get a palindrome (288888882).

The spelling of 204840480 in words is "two hundred four million, eight hundred forty thousand, four hundred eighty".