480600 has 96 divisors (see below), whose sum is σ = 1674000. Its totient is φ = 126720.

The previous prime is 480587. The next prime is 480647. The reversal of 480600 is 6084.

It is a super-3 number, since 3×480600³ = 333021715848000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

480600 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, 5356 + ... + 5444.

2⁴⁸⁰⁶⁰⁰ is an apocalyptic number.

480600 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 480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837000).

480600 is an abundant number, since it is smaller than the sum of its proper divisors (1193400).

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

480600 is a wasteful number, since it uses less digits than its factorization.

480600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 480600 is about 693.2532004975. The cubic root of 480600 is about 78.3299631365.

Adding to 480600 its reverse (6084), we get a palindrome (486684).

The spelling of 480600 in words is "four hundred eighty thousand, six hundred".