421008 has 60 divisors (see below), whose sum is σ = 1272240. Its totient is φ = 119616.

The previous prime is 420997. The next prime is 421009. The reversal of 421008 is 800124.

It is not an unprimeable number, because it can be changed into a prime (421009) by changing a digit.

421008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2263 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁴²¹⁰⁰⁸ is an apocalyptic number.

421008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120).

421008 is an abundant number, since it is smaller than the sum of its proper divisors (851232).

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

421008 is a wasteful number, since it uses less digits than its factorization.

421008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

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

The square root of 421008 is about 648.8512926704. The cubic root of 421008 is about 74.9485869863.

It can be divided in two parts, 4 and 21008, that added together give a palindrome (21012).

The spelling of 421008 in words is "four hundred twenty-one thousand, eight".