480930561 has 16 divisors (see below), whose sum is σ = 754401600. Its totient is φ = 301760064.

The previous prime is 480930557. The next prime is 480930581. The reversal of 480930561 is 165039084.

480930561 is a `hidden beast` number, since 4 + 8 + 0 + 93 + 0 + 561 = 666.

It is not a de Polignac number, because 480930561 - 2² = 480930557 is a prime.

It is a super-3 number, since 3×480930561³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480930581) 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, 523431 + ... + 524348.

It is an arithmetic number, because the mean of its divisors is an integer number (47150100).

Almost surely, 2^480930561 is an apocalyptic number.

It is an amenable number.

480930561 is a deficient number, since it is larger than the sum of its proper divisors (273471039).

480930561 is a wasteful number, since it uses less digits than its factorization.

480930561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047805 (or 1047799 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 480930561 is about 21930.1290693876. The cubic root of 480930561 is about 783.4791770496.

The spelling of 480930561 in words is "four hundred eighty million, nine hundred thirty thousand, five hundred sixty-one".