480101441 has 2 divisors, whose sum is σ = 480101442. Its totient is φ = 480101440.

The previous prime is 480101429. The next prime is 480101459. The reversal of 480101441 is 144101084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 429691441 + 50410000 = 20729^2 + 7100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480101441 is a prime.

It is not a weakly prime, because it can be changed into another prime (480104441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240050720 + 240050721.

It is an arithmetic number, because the mean of its divisors is an integer number (240050721).

Almost surely, 2^480101441 is an apocalyptic number.

It is an amenable number.

480101441 is a deficient number, since it is larger than the sum of its proper divisors (1).

480101441 is an equidigital number, since it uses as much as digits as its factorization.

480101441 is an odious number, because the sum of its binary digits is odd.

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

The square root of 480101441 is about 21911.2172414040. The cubic root of 480101441 is about 783.0286810277.

The spelling of 480101441 in words is "four hundred eighty million, one hundred one thousand, four hundred forty-one".