480100 has 18 divisors (see below), whose sum is σ = 1042034. Its totient is φ = 192000.

The previous prime is 480091. The next prime is 480101. The reversal of 480100 is 1084.

480100 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 39204 + 440896 = 198^2 + 664^2 .

It is not an unprimeable number, because it can be changed into a prime (480101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2301 + ... + 2500.

2⁴⁸⁰¹⁰⁰ is an apocalyptic number.

It is an amenable number.

480100 is an abundant number, since it is smaller than the sum of its proper divisors (561934).

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

480100 is a wasteful number, since it uses less digits than its factorization.

480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 480100 is about 692.8924880528. The cubic root of 480100 is about 78.3027897620.

Adding to 480100 its reverse (1084), we get a palindrome (481184).

It can be divided in two parts, 4 and 80100, that multiplied together give a triangular number (320400 = T₈₀₀).

The spelling of 480100 in words is "four hundred eighty thousand, one hundred".