480280417 has 2 divisors, whose sum is σ = 480280418. Its totient is φ = 480280416.

The previous prime is 480280399. The next prime is 480280429. The reversal of 480280417 is 714082084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400160016 + 80120401 = 20004^2 + 8951^2 .

It is a cyclic number.

It is not a de Polignac number, because 480280417 - 2⁷ = 480280289 is a prime.

It is not a weakly prime, because it can be changed into another prime (480280817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240140208 + 240140209.

It is an arithmetic number, because the mean of its divisors is an integer number (240140209).

Almost surely, 2^480280417 is an apocalyptic number.

It is an amenable number.

480280417 is a deficient number, since it is larger than the sum of its proper divisors (1).

480280417 is an equidigital number, since it uses as much as digits as its factorization.

480280417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 480280417 is about 21915.3009789964. The cubic root of 480280417 is about 783.1259701408.

The spelling of 480280417 in words is "four hundred eighty million, two hundred eighty thousand, four hundred seventeen".