480800 has 36 divisors (see below), whose sum is σ = 1175706. Its totient is φ = 192000.

The previous prime is 480787. The next prime is 480803. The reversal of 480800 is 8084.

It can be written as a sum of positive squares in 3 ways, for example, as 425104 + 55696 = 652^2 + 236^2 .

It is a super-3 number, since 3×480800³ = 333437646336000000, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (480803) by changing a digit.

480800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500 + ... + 1100.

2⁴⁸⁰⁸⁰⁰ is an apocalyptic number.

480800 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 480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587853).

480800 is an abundant number, since it is smaller than the sum of its proper divisors (694906).

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

480800 is a wasteful number, since it uses less digits than its factorization.

480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

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

The square root of 480800 is about 693.3974329344. The cubic root of 480800 is about 78.3408272092.

Adding to 480800 its reverse (8084), we get a palindrome (488884).

The spelling of 480800 in words is "four hundred eighty thousand, eight hundred".