480680 has 32 divisors (see below), whose sum is σ = 1104840. Its totient is φ = 188160.

The previous prime is 480661. The next prime is 480707. The reversal of 480680 is 86084.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 88804 = 626^2 + 298^2 .

It is a super-3 number, since 3×480680³ = 333188046511296000, which contains 333 as substring.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480680.

It is an unprimeable number.

480680 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 7 ways as a sum of consecutive naturals, for example, 2342 + ... + 2538.

2⁴⁸⁰⁶⁸⁰ is an apocalyptic number.

480680 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 480680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420).

480680 is an abundant number, since it is smaller than the sum of its proper divisors (624160).

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

480680 is a wasteful number, since it uses less digits than its factorization.

480680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 480680 is about 693.3108970729. The cubic root of 480680 is about 78.3343091272.

The spelling of 480680 in words is "four hundred eighty thousand, six hundred eighty".