480870 has 64 divisors (see below), whose sum is σ = 1391040. Its totient is φ = 117504.

The previous prime is 480853. The next prime is 480881. The reversal of 480870 is 78084.

It is a happy number.

It is a super-3 number, since 3×480870³ = 333583303783509000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480870.

It is an unprimeable number.

480870 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3442 + ... + 3578.

It is an arithmetic number, because the mean of its divisors is an integer number (21735).

2⁴⁸⁰⁸⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695520).

480870 is an abundant number, since it is smaller than the sum of its proper divisors (910170).

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

480870 is a wasteful number, since it uses less digits than its factorization.

480870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 480870 is about 693.4479072000. The cubic root of 480870 is about 78.3446289229.

The spelling of 480870 in words is "four hundred eighty thousand, eight hundred seventy".