480692593 has 2 divisors, whose sum is σ = 480692594. Its totient is φ = 480692592.

The previous prime is 480692581. The next prime is 480692599. The reversal of 480692593 is 395296084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 423659889 + 57032704 = 20583^2 + 7552^2 .

It is a cyclic number.

It is not a de Polignac number, because 480692593 - 2²⁵ = 447138161 is a prime.

It is a super-3 number, since 3×480692593³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480692599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240346296 + 240346297.

It is an arithmetic number, because the mean of its divisors is an integer number (240346297).

Almost surely, 2^480692593 is an apocalyptic number.

It is an amenable number.

480692593 is a deficient number, since it is larger than the sum of its proper divisors (1).

480692593 is an equidigital number, since it uses as much as digits as its factorization.

480692593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 480692593 is about 21924.7028030028. The cubic root of 480692593 is about 783.3499319656.

The spelling of 480692593 in words is "four hundred eighty million, six hundred ninety-two thousand, five hundred ninety-three".