480864767 has 2 divisors, whose sum is σ = 480864768. Its totient is φ = 480864766.

The previous prime is 480864757. The next prime is 480864803. The reversal of 480864767 is 767468084.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 480864767 - 2⁴ = 480864751 is a prime.

It is a super-3 number, since 3×480864767³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480864757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240432383 + 240432384.

It is an arithmetic number, because the mean of its divisors is an integer number (240432384).

Almost surely, 2^480864767 is an apocalyptic number.

480864767 is a deficient number, since it is larger than the sum of its proper divisors (1).

480864767 is an equidigital number, since it uses as much as digits as its factorization.

480864767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1806336, while the sum is 50.

The square root of 480864767 is about 21928.6289357087. The cubic root of 480864767 is about 783.4434473040.

The spelling of 480864767 in words is "four hundred eighty million, eight hundred sixty-four thousand, seven hundred sixty-seven".