480830600 has 48 divisors (see below), whose sum is σ = 1121648820. Its totient is φ = 191692800.

The previous prime is 480830557. The next prime is 480830611. The reversal of 480830600 is 6038084.

It can be written as a sum of positive squares in 6 ways, for example, as 70930084 + 409900516 = 8422^2 + 20246^2 .

It is a super-3 number, since 3×480830600³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58760 + ... + 66440.

Almost surely, 2^480830600 is an apocalyptic number.

480830600 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 480830600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560824410).

480830600 is an abundant number, since it is smaller than the sum of its proper divisors (640818220).

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

480830600 is a wasteful number, since it uses less digits than its factorization.

480830600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8010 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 480830600 is about 21927.8498717955. The cubic root of 480830600 is about 783.4248914659.

Adding to 480830600 its reverse (6038084), we get a palindrome (486868684).

The spelling of 480830600 in words is "four hundred eighty million, eight hundred thirty thousand, six hundred".