478800013 has 2 divisors, whose sum is σ = 478800014. Its totient is φ = 478800012.

The previous prime is 478800001. The next prime is 478800031. The reversal of 478800013 is 310008874.

It is a happy number.

Together with next prime (478800031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 470976804 + 7823209 = 21702^2 + 2797^2 .

It is a cyclic number.

It is not a de Polignac number, because 478800013 - 2⁹ = 478799501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (478860013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 239400006 + 239400007.

It is an arithmetic number, because the mean of its divisors is an integer number (239400007).

Almost surely, 2^478800013 is an apocalyptic number.

It is an amenable number.

478800013 is a deficient number, since it is larger than the sum of its proper divisors (1).

478800013 is an equidigital number, since it uses as much as digits as its factorization.

478800013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 478800013 is about 21881.4993316272. The cubic root of 478800013 is about 782.3205128858.

Adding to 478800013 its reverse (310008874), we get a palindrome (788808887).

The spelling of 478800013 in words is "four hundred seventy-eight million, eight hundred thousand, thirteen".