480688052 has 36 divisors (see below), whose sum is σ = 925901676. Its totient is φ = 218200320.

The previous prime is 480688051. The next prime is 480688057. The reversal of 480688052 is 250886084.

It can be written as a sum of positive squares in 6 ways, for example, as 140801956 + 339886096 = 11866^2 + 18436^2 .

It is a super-3 number, since 3×480688052³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480688051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35408 + ... + 47064.

It is an arithmetic number, because the mean of its divisors is an integer number (25719491).

Almost surely, 2^480688052 is an apocalyptic number.

It is an amenable number.

480688052 is a deficient number, since it is larger than the sum of its proper divisors (445213624).

480688052 is a wasteful number, since it uses less digits than its factorization.

480688052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11748 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 480688052 is about 21924.5992437718. The cubic root of 480688052 is about 783.3474652448.

The spelling of 480688052 in words is "four hundred eighty million, six hundred eighty-eight thousand, fifty-two".