258464497 has 2 divisors, whose sum is σ = 258464498. Its totient is φ = 258464496.

The previous prime is 258464473. The next prime is 258464519. The reversal of 258464497 is 794464852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190550416 + 67914081 = 13804^2 + 8241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258464497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258464497.

It is not a weakly prime, because it can be changed into another prime (258464417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129232248 + 129232249.

It is an arithmetic number, because the mean of its divisors is an integer number (129232249).

Almost surely, 2^258464497 is an apocalyptic number.

It is an amenable number.

258464497 is a deficient number, since it is larger than the sum of its proper divisors (1).

258464497 is an equidigital number, since it uses as much as digits as its factorization.

258464497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1935360, while the sum is 49.

The square root of 258464497 is about 16076.8310621217. The cubic root of 258464497 is about 636.9914925830.

It can be divided in two parts, 2584 and 64497, that added together give a square (67081 = 259²).

The spelling of 258464497 in words is "two hundred fifty-eight million, four hundred sixty-four thousand, four hundred ninety-seven".