480620593 has 2 divisors, whose sum is σ = 480620594. Its totient is φ = 480620592.

The previous prime is 480620587. The next prime is 480620611. The reversal of 480620593 is 395026084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 443860624 + 36759969 = 21068^2 + 6063^2 .

It is a cyclic number.

It is not a de Polignac number, because 480620593 - 2²⁵ = 447066161 is a prime.

It is a super-3 number, since 3×480620593³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480620533) 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 as a sum of consecutive naturals, namely, 240310296 + 240310297.

It is an arithmetic number, because the mean of its divisors is an integer number (240310297).

Almost surely, 2^480620593 is an apocalyptic number.

It is an amenable number.

480620593 is a deficient number, since it is larger than the sum of its proper divisors (1).

480620593 is an equidigital number, since it uses as much as digits as its factorization.

480620593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 480620593 is about 21923.0607580237. The cubic root of 480620593 is about 783.3108189495.

The spelling of 480620593 in words is "four hundred eighty million, six hundred twenty thousand, five hundred ninety-three".