421968 has 40 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 137344.

The previous prime is 421943. The next prime is 421973. The reversal of 421968 is 869124.

It is a congruent number.

It is an unprimeable number.

421968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2758 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁴²¹⁹⁶⁸ is an apocalyptic number.

421968 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 421968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558000).

421968 is an abundant number, since it is smaller than the sum of its proper divisors (694032).

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

421968 is a wasteful number, since it uses less digits than its factorization.

421968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 421968 is about 649.5906403267. The cubic root of 421968 is about 75.0055107062.

The spelling of 421968 in words is "four hundred twenty-one thousand, nine hundred sixty-eight".