480664144 has 10 divisors (see below), whose sum is σ = 931286810. Its totient is φ = 240332064.

The previous prime is 480664141. The next prime is 480664153. The reversal of 480664144 is 441466084.

It can be written as a sum of positive squares in only one way, i.e., 436308544 + 44355600 = 20888^2 + 6660^2 .

It is a super-3 number, since 3×480664144³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480664141) 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 as a sum of consecutive naturals, namely, 15020739 + ... + 15020770.

It is an arithmetic number, because the mean of its divisors is an integer number (93128681).

Almost surely, 2^480664144 is an apocalyptic number.

It is an amenable number.

480664144 is a deficient number, since it is larger than the sum of its proper divisors (450622666).

480664144 is a wasteful number, since it uses less digits than its factorization.

480664144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041517 (or 30041511 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 480664144 is about 21924.0540046771. The cubic root of 480664144 is about 783.3344779019.

The spelling of 480664144 in words is "four hundred eighty million, six hundred sixty-four thousand, one hundred forty-four".