480601599 has 8 divisors (see below), whose sum is σ = 674528640. Its totient is φ = 303537816.

The previous prime is 480601591. The next prime is 480601727. The reversal of 480601599 is 995106084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 480601599 - 2³ = 480601591 is a prime.

It is a super-3 number, since 3×480601599³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 480601599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480601591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4215747 + ... + 4215860.

It is an arithmetic number, because the mean of its divisors is an integer number (84316080).

Almost surely, 2^480601599 is an apocalyptic number.

480601599 is a deficient number, since it is larger than the sum of its proper divisors (193927041).

480601599 is a wasteful number, since it uses less digits than its factorization.

480601599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8431629.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 480601599 is about 21922.6275569330. The cubic root of 480601599 is about 783.3005000674.

The spelling of 480601599 in words is "four hundred eighty million, six hundred one thousand, five hundred ninety-nine".