421224132 has 96 divisors (see below), whose sum is σ = 1159981312. Its totient is φ = 116453376.

The previous prime is 421224131. The next prime is 421224137. The reversal of 421224132 is 231422124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421224099 and 421224108.

It is not an unprimeable number, because it can be changed into a prime (421224131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972588 + ... + 973020.

Almost surely, 2^421224132 is an apocalyptic number.

421224132 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 421224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579990656).

421224132 is an abundant number, since it is smaller than the sum of its proper divisors (738757180).

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

421224132 is a wasteful number, since it uses less digits than its factorization.

421224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 421224132 is about 20523.7455645893. The cubic root of 421224132 is about 749.6141019221.

Adding to 421224132 its reverse (231422124), we get a palindrome (652646256).

The spelling of 421224132 in words is "four hundred twenty-one million, two hundred twenty-four thousand, one hundred thirty-two".