480036481 has 2 divisors, whose sum is σ = 480036482. Its totient is φ = 480036480.

The previous prime is 480036451. The next prime is 480036493. The reversal of 480036481 is 184630084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462938256 + 17098225 = 21516^2 + 4135^2 .

It is a cyclic number.

It is not a de Polignac number, because 480036481 - 2⁷ = 480036353 is a prime.

It is a super-2 number, since 2×480036481² = 460870046181726722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (480036451) 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, 240018240 + 240018241.

It is an arithmetic number, because the mean of its divisors is an integer number (240018241).

Almost surely, 2^480036481 is an apocalyptic number.

It is an amenable number.

480036481 is a deficient number, since it is larger than the sum of its proper divisors (1).

480036481 is an equidigital number, since it uses as much as digits as its factorization.

480036481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 480036481 is about 21909.7348454973. The cubic root of 480036481 is about 782.9933636044.

The spelling of 480036481 in words is "four hundred eighty million, thirty-six thousand, four hundred eighty-one".