480700 has 72 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 158400.

The previous prime is 480661. The next prime is 480707. The reversal of 480700 is 7084.

It is a happy number.

480700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

480700 is a nontrivial binomial coefficient, being equal to C(25, 7).

It is a super-3 number, since 3×480700³ = 333229637829000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480707) 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, 20889 + ... + 20911.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁴⁸⁰⁷⁰⁰ 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 480700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

480700 is an abundant number, since it is smaller than the sum of its proper divisors (769220).

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

480700 is a wasteful number, since it uses less digits than its factorization.

480700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 480700 is about 693.3253204665. The cubic root of 480700 is about 78.3353955496.

Adding to 480700 its reverse (7084), we get a palindrome (487784).

The spelling of 480700 in words is "four hundred eighty thousand, seven hundred".