480200800 has 72 divisors (see below), whose sum is σ = 1204047936. Its totient is φ = 186877440.

The previous prime is 480200753. The next prime is 480200807. The reversal of 480200800 is 8002084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480200807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21489 + ... + 37711.

It is an arithmetic number, because the mean of its divisors is an integer number (16722888).

Almost surely, 2^480200800 is an apocalyptic number.

480200800 is a gapful number since it is divisible by the number (40) 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 480200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602023968).

480200800 is an abundant number, since it is smaller than the sum of its proper divisors (723847136).

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

480200800 is a wasteful number, since it uses less digits than its factorization.

480200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16280 (or 16267 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 480200800 is about 21913.4844331065. The cubic root of 480200800 is about 783.0826943212.

Adding to 480200800 its reverse (8002084), we get a palindrome (488202884).

It can be divided in two parts, 480200 and 800, that multiplied together give a 4-th power (384160000 = 140⁴).

The spelling of 480200800 in words is "four hundred eighty million, two hundred thousand, eight hundred".