480007241 has 16 divisors (see below), whose sum is σ = 578073600. Its totient is φ = 389361168.

The previous prime is 480007211. The next prime is 480007267. The reversal of 480007241 is 142700084.

It is a de Polignac number, because none of the positive numbers 2^k-480007241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480007241.

It is not an unprimeable number, because it can be changed into a prime (480007201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204050 + ... + 206388.

It is an arithmetic number, because the mean of its divisors is an integer number (36129600).

Almost surely, 2^480007241 is an apocalyptic number.

It is an amenable number.

480007241 is a deficient number, since it is larger than the sum of its proper divisors (98066359).

480007241 is a wasteful number, since it uses less digits than its factorization.

480007241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908.

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 480007241 is about 21909.0675520434. The cubic root of 480007241 is about 782.9774653746.

The spelling of 480007241 in words is "four hundred eighty million, seven thousand, two hundred forty-one".