480820000 has 120 divisors (see below), whose sum is σ = 1225154700. Its totient is φ = 185472000.

The previous prime is 480819953. The next prime is 480820001. The reversal of 480820000 is 28084.

It can be written as a sum of positive squares in 10 ways, for example, as 25765776 + 455054224 = 5076^2 + 21332^2 .

It is a super-3 number, since 3×480820000³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480820001) 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 19 ways as a sum of consecutive naturals, for example, 579586 + ... + 580414.

Almost surely, 2^480820000 is an apocalyptic number.

480820000 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 480820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612577350).

480820000 is an abundant number, since it is smaller than the sum of its proper divisors (744334700).

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

480820000 is an equidigital number, since it uses as much as digits as its factorization.

480820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 865 counting only the distinct ones).

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

The square root of 480820000 is about 21927.6081686991. The cubic root of 480820000 is about 783.4191345078.

Adding to 480820000 its reverse (28084), we get a palindrome (480848084).

The spelling of 480820000 in words is "four hundred eighty million, eight hundred twenty thousand".