248648401 has 2 divisors, whose sum is σ = 248648402. Its totient is φ = 248648400.

The previous prime is 248648371. The next prime is 248648417. The reversal of 248648401 is 104846842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247244176 + 1404225 = 15724^2 + 1185^2 .

It is a cyclic number.

It is not a de Polignac number, because 248648401 - 2¹⁷ = 248517329 is a prime.

It is not a weakly prime, because it can be changed into another prime (248648431) 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, 124324200 + 124324201.

It is an arithmetic number, because the mean of its divisors is an integer number (124324201).

Almost surely, 2^248648401 is an apocalyptic number.

It is an amenable number.

248648401 is a deficient number, since it is larger than the sum of its proper divisors (1).

248648401 is an equidigital number, since it uses as much as digits as its factorization.

248648401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 248648401 is about 15768.5890618026. The cubic root of 248648401 is about 628.8232008494.

The spelling of 248648401 in words is "two hundred forty-eight million, six hundred forty-eight thousand, four hundred one".