440006993 has 2 divisors, whose sum is σ = 440006994. Its totient is φ = 440006992.

The previous prime is 440006953. The next prime is 440007013. The reversal of 440006993 is 399600044.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255264529 + 184742464 = 15977^2 + 13592^2 .

It is a cyclic number.

It is not a de Polignac number, because 440006993 - 2⁸ = 440006737 is a prime.

440006993 is a modest number, since divided by 6993 gives 440 as remainder.

It is equal to p_23350895 and since 440006993 and 23350895 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (440006953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220003496 + 220003497.

It is an arithmetic number, because the mean of its divisors is an integer number (220003497).

Almost surely, 2^440006993 is an apocalyptic number.

It is an amenable number.

440006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

440006993 is an equidigital number, since it uses as much as digits as its factorization.

440006993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 440006993 is about 20976.3436518379. The cubic root of 440006993 is about 760.5945215319.

The spelling of 440006993 in words is "four hundred forty million, six thousand, nine hundred ninety-three".