480920441 has 2 divisors, whose sum is σ = 480920442. Its totient is φ = 480920440.

The previous prime is 480920393. The next prime is 480920443. The reversal of 480920441 is 144029084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 450670441 + 30250000 = 21229^2 + 5500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480920441 is a prime.

It is a super-3 number, since 3×480920441³ (a number of 27 digits) contains 333 as substring.

Together with 480920443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 480920398 and 480920407.

It is not a weakly prime, because it can be changed into another prime (480920443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240460220 + 240460221.

It is an arithmetic number, because the mean of its divisors is an integer number (240460221).

Almost surely, 2^480920441 is an apocalyptic number.

It is an amenable number.

480920441 is a deficient number, since it is larger than the sum of its proper divisors (1).

480920441 is an equidigital number, since it uses as much as digits as its factorization.

480920441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 480920441 is about 21929.8983353777. The cubic root of 480920441 is about 783.4736815474.

The spelling of 480920441 in words is "four hundred eighty million, nine hundred twenty thousand, four hundred forty-one".