204801480 has 256 divisors, whose sum is σ = 762048000. Its totient is φ = 48577536.

The previous prime is 204801479. The next prime is 204801481. The reversal of 204801480 is 84108402.

204801480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204801479) and next prime (204801481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204801481) 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 63 ways as a sum of consecutive naturals, for example, 406909 + ... + 407411.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2^204801480 is an apocalyptic number.

204801480 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 204801480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

204801480 is an abundant number, since it is smaller than the sum of its proper divisors (557246520).

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

204801480 is a wasteful number, since it uses less digits than its factorization.

204801480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 204801480 is about 14310.8867649772. The cubic root of 204801480 is about 589.4464596662.

Adding to 204801480 its reverse (84108402), we get a palindrome (288909882).

The spelling of 204801480 in words is "two hundred four million, eight hundred one thousand, four hundred eighty".