480609552 has 20 divisors (see below), whose sum is σ = 1241574800. Its totient is φ = 160203168.

The previous prime is 480609527. The next prime is 480609583. The reversal of 480609552 is 255906084.

It is a super-3 number, since 3×480609552³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 480609552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5006302 + ... + 5006397.

It is an arithmetic number, because the mean of its divisors is an integer number (62078740).

Almost surely, 2^480609552 is an apocalyptic number.

It is an amenable number.

480609552 is an abundant number, since it is smaller than the sum of its proper divisors (760965248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480609552 is a wasteful number, since it uses less digits than its factorization.

480609552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012710 (or 10012704 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 480609552 is about 21922.8089441112. The cubic root of 480609552 is about 783.3048207317.

The spelling of 480609552 in words is "four hundred eighty million, six hundred nine thousand, five hundred fifty-two".