421632 has 72 divisors (see below), whose sum is σ = 1267280. Its totient is φ = 138240.

The previous prime is 421621. The next prime is 421633. The reversal of 421632 is 236124.

It is a happy number.

421632 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421633) by changing a digit.

421632 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 7 ways as a sum of consecutive naturals, for example, 6882 + ... + 6942.

421632 is a Friedman number, since it can be written as (61*24^3)/2, using all its digits and the basic arithmetic operations.

2⁴²¹⁶³² 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 421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633640).

421632 is an abundant number, since it is smaller than the sum of its proper divisors (845648).

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

421632 is an equidigital number, since it uses as much as digits as its factorization.

421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 421632 is about 649.3319644065. The cubic root of 421632 is about 74.9855972343.

Adding to 421632 its reverse (236124), we get a palindrome (657756).

The spelling of 421632 in words is "four hundred twenty-one thousand, six hundred thirty-two".