480510800 has 120 divisors (see below), whose sum is σ = 1439378112. Its totient is φ = 149760000.

The previous prime is 480510799. The next prime is 480510803. The reversal of 480510800 is 8015084.

It is a self number, because there is not a number n which added to its sum of digits gives 480510800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480510803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23000 + ... + 38600.

Almost surely, 2^480510800 is an apocalyptic number.

480510800 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 480510800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719689056).

480510800 is an abundant number, since it is smaller than the sum of its proper divisors (958867312).

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

480510800 is a wasteful number, since it uses less digits than its factorization.

480510800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15637 (or 15626 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 480510800 is about 21920.5565622773. The cubic root of 480510800 is about 783.2511678820.

Adding to 480510800 its reverse (8015084), we get a palindrome (488525884).

The spelling of 480510800 in words is "four hundred eighty million, five hundred ten thousand, eight hundred".