420384008 has 36 divisors (see below), whose sum is σ = 867707295. Its totient is φ = 190793680.

The previous prime is 420383993. The next prime is 420384011. The reversal of 420384008 is 800483024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 210192004 + 210192004 = 14498^2 + 14498^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14498.

It is a Duffinian number.

It is an unprimeable number.

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 in 8 ways as a sum of consecutive naturals, for example, 637583 + ... + 638241.

Almost surely, 2^420384008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420384008

420384008 is an abundant number, since it is smaller than the sum of its proper divisors (447323287).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420384008 is an equidigital number, since it uses as much as digits as its factorization.

420384008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 420384008 is about 20503.2682272851. The cubic root of 420384008 is about 749.1154062539.

The spelling of 420384008 in words is "four hundred twenty million, three hundred eighty-four thousand, eight".