480442561 has 9 divisors (see below), whose sum is σ = 502767139. Its totient is φ = 459071536.

The previous prime is 480442537. The next prime is 480442577. The reversal of 480442561 is 165244084.

The square root of 480442561 is 21919.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 200081025 + 280361536 = 14145^2 + 16744^2 .

It is not a de Polignac number, because 480442561 - 2²¹ = 478345409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480442861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 503661 + ... + 504613.

Almost surely, 2^480442561 is an apocalyptic number.

480442561 is the 21919-th square number.

480442561 is the 10960-th centered octagonal number.

It is an amenable number.

480442561 is a deficient number, since it is larger than the sum of its proper divisors (22324578).

480442561 is an frugal number, since it uses more digits than its factorization.

480442561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The cubic root of 480442561 is about 783.2140887246.

It can be divided in two parts, 48044 and 2561, that added together give a palindrome (50605).

The spelling of 480442561 in words is "four hundred eighty million, four hundred forty-two thousand, five hundred sixty-one".