480960409 has 2 divisors, whose sum is σ = 480960410. Its totient is φ = 480960408.

The previous prime is 480960407. The next prime is 480960419. The reversal of 480960409 is 904069084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 478384384 + 2576025 = 21872^2 + 1605^2 .

It is a cyclic number.

It is not a de Polignac number, because 480960409 - 2¹ = 480960407 is a prime.

It is a super-3 number, since 3×480960409³ (a number of 27 digits) contains 333 as substring.

Together with 480960407, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (480960407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240480204 + 240480205.

It is an arithmetic number, because the mean of its divisors is an integer number (240480205).

Almost surely, 2^480960409 is an apocalyptic number.

It is an amenable number.

480960409 is a deficient number, since it is larger than the sum of its proper divisors (1).

480960409 is an equidigital number, since it uses as much as digits as its factorization.

480960409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 480960409 is about 21930.8095837796. The cubic root of 480960409 is about 783.4953850740.

The spelling of 480960409 in words is "four hundred eighty million, nine hundred sixty thousand, four hundred nine".