480564511 has 24 divisors (see below), whose sum is σ = 607464960. Its totient is φ = 377622000.

The previous prime is 480564493. The next prime is 480564521. The reversal of 480564511 is 115465084.

It is not a de Polignac number, because 480564511 - 2²³ = 472175903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480564521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20536 + ... + 37186.

It is an arithmetic number, because the mean of its divisors is an integer number (25311040).

Almost surely, 2^480564511 is an apocalyptic number.

480564511 is a deficient number, since it is larger than the sum of its proper divisors (126900449).

480564511 is a wasteful number, since it uses less digits than its factorization.

480564511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16715 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 480564511 is about 21921.7816566081. The cubic root of 480564511 is about 783.2803504630.

The spelling of 480564511 in words is "four hundred eighty million, five hundred sixty-four thousand, five hundred eleven".