480144267 has 10 divisors (see below), whose sum is σ = 717252668. Its totient is φ = 320096124.

The previous prime is 480144263. The next prime is 480144283. The reversal of 480144267 is 762441084.

It is not a de Polignac number, because 480144267 - 2² = 480144263 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480144263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2963773 + ... + 2963934.

Almost surely, 2^480144267 is an apocalyptic number.

480144267 is a deficient number, since it is larger than the sum of its proper divisors (237108401).

480144267 is an equidigital number, since it uses as much as digits as its factorization.

480144267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927719 (or 5927710 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 480144267 is about 21912.1944816123. The cubic root of 480144267 is about 783.0519629055.

The spelling of 480144267 in words is "four hundred eighty million, one hundred forty-four thousand, two hundred sixty-seven".