420400093 has 2 divisors, whose sum is σ = 420400094. Its totient is φ = 420400092.

The previous prime is 420400087. The next prime is 420400117. The reversal of 420400093 is 390004024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 268075129 + 152324964 = 16373^2 + 12342^2 .

It is a cyclic number.

It is not a de Polignac number, because 420400093 - 2¹⁷ = 420269021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420460093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210200046 + 210200047.

It is an arithmetic number, because the mean of its divisors is an integer number (210200047).

Almost surely, 2^420400093 is an apocalyptic number.

It is an amenable number.

420400093 is a deficient number, since it is larger than the sum of its proper divisors (1).

420400093 is an equidigital number, since it uses as much as digits as its factorization.

420400093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 420400093 is about 20503.6604780707. The cubic root of 420400093 is about 749.1249605086.

The spelling of 420400093 in words is "four hundred twenty million, four hundred thousand, ninety-three".