420400609 has 2 divisors, whose sum is σ = 420400610. Its totient is φ = 420400608.

The previous prime is 420400597. The next prime is 420400621. The reversal of 420400609 is 906004024.

It is a balanced prime because it is at equal distance from previous prime (420400597) and next prime (420400621).

It can be written as a sum of positive squares in only one way, i.e., 398122209 + 22278400 = 19953^2 + 4720^2 .

It is a cyclic number.

It is not a de Polignac number, because 420400609 - 2²³ = 412012001 is a prime.

It is not a weakly prime, because it can be changed into another prime (420400639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210200304 + 210200305.

It is an arithmetic number, because the mean of its divisors is an integer number (210200305).

Almost surely, 2^420400609 is an apocalyptic number.

It is an amenable number.

420400609 is a deficient number, since it is larger than the sum of its proper divisors (1).

420400609 is an equidigital number, since it uses as much as digits as its factorization.

420400609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 420400609 is about 20503.6730611859. The cubic root of 420400609 is about 749.1252670010.

The spelling of 420400609 in words is "four hundred twenty million, four hundred thousand, six hundred nine".