480900 has 72 divisors (see below), whose sum is σ = 1597120. Its totient is φ = 109440.

The previous prime is 480881. The next prime is 480911. The reversal of 480900 is 9084.

It is a super-3 number, since 3×480900³ = 333645741387000000, which contains 333 as substring.

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

It is an Ulam number.

It is a nialpdrome in base 15.

It is an unprimeable number.

480900 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 23 ways as a sum of consecutive naturals, for example, 1986 + ... + 2214.

2⁴⁸⁰⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798560).

480900 is an abundant number, since it is smaller than the sum of its proper divisors (1116220).

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

480900 is a wasteful number, since it uses less digits than its factorization.

480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

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

The square root of 480900 is about 693.4695379034. The cubic root of 480900 is about 78.3462581158.

Adding to 480900 its reverse (9084), we get a palindrome (489984).

The spelling of 480900 in words is "four hundred eighty thousand, nine hundred".