480580493 has 2 divisors, whose sum is σ = 480580494. Its totient is φ = 480580492.

The previous prime is 480580487. The next prime is 480580501. The reversal of 480580493 is 394085084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 436517449 + 44063044 = 20893^2 + 6638^2 .

It is a cyclic number.

It is not a de Polignac number, because 480580493 - 2¹⁰ = 480579469 is a prime.

It is a super-2 number, since 2×480580493² = 461915220504246098, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 480580493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480580403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240290246 + 240290247.

It is an arithmetic number, because the mean of its divisors is an integer number (240290247).

Almost surely, 2^480580493 is an apocalyptic number.

It is an amenable number.

480580493 is a deficient number, since it is larger than the sum of its proper divisors (1).

480580493 is an equidigital number, since it uses as much as digits as its factorization.

480580493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 480580493 is about 21922.1461768687. The cubic root of 480580493 is about 783.2890334789.

The spelling of 480580493 in words is "four hundred eighty million, five hundred eighty thousand, four hundred ninety-three".