480900000 has 288 divisors, whose sum is σ = 1811134080. Its totient is φ = 109440000.

The previous prime is 480899963. The next prime is 480900059. The reversal of 480900000 is 9084.

It is a super-3 number, since 3×480900000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 480900000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2099886 + ... + 2100114.

It is an arithmetic number, because the mean of its divisors is an integer number (6288660).

Almost surely, 2^480900000 is an apocalyptic number.

480900000 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 480900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905567040).

480900000 is an abundant number, since it is smaller than the sum of its proper divisors (1330234080).

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

480900000 is an equidigital number, since it uses as much as digits as its factorization.

480900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 480900000 is about 21929.4322771931. The cubic root of 480900000 is about 783.4625811581.

Adding to 480900000 its reverse (9084), we get a palindrome (480909084).

The spelling of 480900000 in words is "four hundred eighty million, nine hundred thousand".