421312 has 28 divisors (see below), whose sum is σ = 868680. Its totient is φ = 202496.

The previous prime is 421303. The next prime is 421313. The reversal of 421312 is 213124.

It is a junction number, because it is equal to n+sod(n) for n = 421292 and 421301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421313) by changing a digit.

421312 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 3 ways as a sum of consecutive naturals, for example, 1743 + ... + 1969.

2⁴²¹³¹² 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 421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434340).

421312 is an abundant number, since it is smaller than the sum of its proper divisors (447368).

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

421312 is a wasteful number, since it uses less digits than its factorization.

421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 421312 is about 649.0855105454. The cubic root of 421312 is about 74.9666221849.

Adding to 421312 its reverse (213124), we get a palindrome (634436).

It can be divided in two parts, 4213 and 12, that added together give a square (4225 = 65²).

The spelling of 421312 in words is "four hundred twenty-one thousand, three hundred twelve", and thus it is an iban number.