480530000 has 100 divisors (see below), whose sum is σ = 1204255140. Its totient is φ = 185472000.

The previous prime is 480529979. The next prime is 480530003. The reversal of 480530000 is 35084.

It can be written as a sum of positive squares in 10 ways, for example, as 400320064 + 80209936 = 20008^2 + 8956^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480530003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289172 + ... + 290828.

Almost surely, 2^480530000 is an apocalyptic number.

480530000 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 480530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602127570).

480530000 is an abundant number, since it is smaller than the sum of its proper divisors (723725140).

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

480530000 is a wasteful number, since it uses less digits than its factorization.

480530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 480530000 is about 21920.9945029873. The cubic root of 480530000 is about 783.2615999903.

Adding to 480530000 its reverse (35084), we get a palindrome (480565084).

The spelling of 480530000 in words is "four hundred eighty million, five hundred thirty thousand".