420100008 has 32 divisors (see below), whose sum is σ = 1050869760. Its totient is φ = 139950720.

The previous prime is 420099997. The next prime is 420100019. The reversal of 420100008 is 800001024.

It is an interprime number because it is at equal distance from previous prime (420099997) and next prime (420100019).

It is a self number, because there is not a number n which added to its sum of digits gives 420100008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47193 + ... + 55383.

It is an arithmetic number, because the mean of its divisors is an integer number (32839680).

Almost surely, 2^420100008 is an apocalyptic number.

It is an amenable number.

420100008 is an abundant number, since it is smaller than the sum of its proper divisors (630769752).

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

420100008 is a wasteful number, since it uses less digits than its factorization.

420100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 420100008 is about 20496.3413320524. The cubic root of 420100008 is about 748.9466742546.

The spelling of 420100008 in words is "four hundred twenty million, one hundred thousand, eight".