414748993 has 2 divisors, whose sum is σ = 414748994. Its totient is φ = 414748992.

The previous prime is 414748991. The next prime is 414749047. The reversal of 414748993 is 399847414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408363264 + 6385729 = 20208^2 + 2527^2 .

It is a cyclic number.

It is not a de Polignac number, because 414748993 - 2¹ = 414748991 is a prime.

Together with 414748991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414748991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207374496 + 207374497.

It is an arithmetic number, because the mean of its divisors is an integer number (207374497).

Almost surely, 2^414748993 is an apocalyptic number.

It is an amenable number.

414748993 is a deficient number, since it is larger than the sum of its proper divisors (1).

414748993 is an equidigital number, since it uses as much as digits as its factorization.

414748993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 49.

The square root of 414748993 is about 20365.3871311105. The cubic root of 414748993 is about 745.7531791089.

The spelling of 414748993 in words is "four hundred fourteen million, seven hundred forty-eight thousand, nine hundred ninety-three".