480608613 has 16 divisors (see below), whose sum is σ = 712478400. Its totient is φ = 320196240.

The previous prime is 480608599. The next prime is 480608617. The reversal of 480608613 is 316806084.

It is a happy number.

480608613 is a `hidden beast` number, since 48 + 0 + 608 + 6 + 1 + 3 = 666.

It is not a de Polignac number, because 480608613 - 2²⁴ = 463831397 is a prime.

It is a super-3 number, since 3×480608613³ (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 (480608617) 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, 43983 + ... + 53811.

It is an arithmetic number, because the mean of its divisors is an integer number (44529900).

Almost surely, 2^480608613 is an apocalyptic number.

It is an amenable number.

480608613 is a deficient number, since it is larger than the sum of its proper divisors (231869787).

480608613 is a wasteful number, since it uses less digits than its factorization.

480608613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480608613 is about 21922.7875280494. The cubic root of 480608613 is about 783.3043105992.

The spelling of 480608613 in words is "four hundred eighty million, six hundred eight thousand, six hundred thirteen".