480793313 has 32 divisors (see below), whose sum is σ = 648544512. Its totient is φ = 344217600.

The previous prime is 480793307. The next prime is 480793319. The reversal of 480793313 is 313397084.

It is an interprime number because it is at equal distance from previous prime (480793307) and next prime (480793319).

It is a cyclic number.

It is not a de Polignac number, because 480793313 - 2⁴ = 480793297 is a prime.

It is a super-3 number, since 3×480793313³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480793319) 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 31 ways as a sum of consecutive naturals, for example, 240245 + ... + 242237.

It is an arithmetic number, because the mean of its divisors is an integer number (20267016).

Almost surely, 2^480793313 is an apocalyptic number.

It is an amenable number.

480793313 is a deficient number, since it is larger than the sum of its proper divisors (167751199).

480793313 is a wasteful number, since it uses less digits than its factorization.

480793313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 480793313 is about 21926.9996351530. Note that the first 3 decimals coincide. The cubic root of 480793313 is about 783.4046401764.

The spelling of 480793313 in words is "four hundred eighty million, seven hundred ninety-three thousand, three hundred thirteen".