480800000 has 108 divisors (see below), whose sum is σ = 1201571532. Its totient is φ = 192000000.

The previous prime is 480799853. The next prime is 480800011. The reversal of 480800000 is 8084.

It can be written as a sum of positive squares in 6 ways, for example, as 319408384 + 161391616 = 17872^2 + 12704^2 .

It is a super-3 number, since 3×480800000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 799700 + ... + 800300.

Almost surely, 2^480800000 is an apocalyptic number.

480800000 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 480800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600785766).

480800000 is an abundant number, since it is smaller than the sum of its proper divisors (720771532).

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

480800000 is an frugal number, since it uses more digits than its factorization.

480800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 480800000 is about 21927.1521178652. The cubic root of 480800000 is about 783.4082720922.

Adding to 480800000 its reverse (8084), we get a palindrome (480808084).

The spelling of 480800000 in words is "four hundred eighty million, eight hundred thousand".