421512 has 64 divisors (see below), whose sum is σ = 1303680. Its totient is φ = 110592.

The previous prime is 421501. The next prime is 421517. The reversal of 421512 is 215124.

421512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421512² = 355344732288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421491 and 421500.

It is not an unprimeable number, because it can be changed into a prime (421517) by changing a digit.

421512 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 15 ways as a sum of consecutive naturals, for example, 2088 + ... + 2280.

It is an arithmetic number, because the mean of its divisors is an integer number (20370).

2⁴²¹⁵¹² is an apocalyptic number.

421512 is a gapful number since it is divisible by the number (42) 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 421512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651840).

421512 is an abundant number, since it is smaller than the sum of its proper divisors (882168).

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

421512 is a wasteful number, since it uses less digits than its factorization.

421512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 421512 is about 649.2395551720. The cubic root of 421512 is about 74.9784827162.

Adding to 421512 its reverse (215124), we get a palindrome (636636).

It can be divided in two parts, 42 and 1512, that multiplied together give a square (63504 = 252²).

The spelling of 421512 in words is "four hundred twenty-one thousand, five hundred twelve".