480820001 has 2 divisors, whose sum is σ = 480820002. Its totient is φ = 480820000.

The previous prime is 480819953. The next prime is 480820009. The reversal of 480820001 is 100028084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 472845025 + 7974976 = 21745^2 + 2824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480820001 is a prime.

It is a super-3 number, since 3×480820001³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (480820009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240410000 + 240410001.

It is an arithmetic number, because the mean of its divisors is an integer number (240410001).

Almost surely, 2^480820001 is an apocalyptic number.

It is an amenable number.

480820001 is a deficient number, since it is larger than the sum of its proper divisors (1).

480820001 is an equidigital number, since it uses as much as digits as its factorization.

480820001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 480820001 is about 21927.6081915014. The cubic root of 480820001 is about 783.4191350509.

Adding to 480820001 its reverse (100028084), we get a palindrome (580848085).

The spelling of 480820001 in words is "four hundred eighty million, eight hundred twenty thousand, one".