480345759 has 12 divisors (see below), whose sum is σ = 694894200. Its totient is φ = 319740624.

The previous prime is 480345757. The next prime is 480345769. The reversal of 480345759 is 957543084.

480345759 is a `hidden beast` number, since 48 + 0 + 34 + 575 + 9 = 666.

It is not a de Polignac number, because 480345759 - 2¹ = 480345757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480345757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34564 + ... + 46425.

It is an arithmetic number, because the mean of its divisors is an integer number (57907850).

Almost surely, 2^480345759 is an apocalyptic number.

480345759 is a deficient number, since it is larger than the sum of its proper divisors (214548441).

480345759 is a wasteful number, since it uses less digits than its factorization.

480345759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81654 (or 81651 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 480345759 is about 21916.7917132047. The cubic root of 480345759 is about 783.1614832111.

The spelling of 480345759 in words is "four hundred eighty million, three hundred forty-five thousand, seven hundred fifty-nine".