480559041 has 32 divisors (see below), whose sum is σ = 726566400. Its totient is φ = 313845840.

The previous prime is 480559031. The next prime is 480559063. The reversal of 480559041 is 140955084.

480559041 is a `hidden beast` number, since 480 + 55 + 90 + 41 = 666.

It is not a de Polignac number, because 480559041 - 2¹⁸ = 480296897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480558987 and 480559005.

It is not an unprimeable number, because it can be changed into a prime (480559031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381070 + ... + 382328.

It is an arithmetic number, because the mean of its divisors is an integer number (22705200).

Almost surely, 2^480559041 is an apocalyptic number.

It is an amenable number.

480559041 is a deficient number, since it is larger than the sum of its proper divisors (246007359).

480559041 is a wasteful number, since it uses less digits than its factorization.

480559041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 480559041 is about 21921.6568944959. The cubic root of 480559041 is about 783.2773785694.

Subtracting from 480559041 its product of nonzero digits (28800), we obtain a square (480530241 = 21921²).

The spelling of 480559041 in words is "four hundred eighty million, five hundred fifty-nine thousand, forty-one".