480458130 has 64 divisors (see below), whose sum is σ = 1218119040. Its totient is φ = 120946176.

The previous prime is 480458117. The next prime is 480458161. The reversal of 480458130 is 31854084.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 480458091 and 480458100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177064 + ... + 179756.

It is an arithmetic number, because the mean of its divisors is an integer number (19033110).

Almost surely, 2^480458130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480458130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609059520).

480458130 is an abundant number, since it is smaller than the sum of its proper divisors (737660910).

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

480458130 is a wasteful number, since it uses less digits than its factorization.

480458130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 480458130 is about 21919.3551456242. The cubic root of 480458130 is about 783.2225487913. Note that the first 3 decimals are identical.

The spelling of 480458130 in words is "four hundred eighty million, four hundred fifty-eight thousand, one hundred thirty".