421216320 has 224 divisors, whose sum is σ = 1609344000. Its totient is φ = 91183104.

The previous prime is 421216309. The next prime is 421216321. The reversal of 421216320 is 23612124.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421216321) 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, 126031 + ... + 129329.

Almost surely, 2^421216320 is an apocalyptic number.

421216320 is a gapful number since it is divisible by the number (40) 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 421216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804672000).

421216320 is an abundant number, since it is smaller than the sum of its proper divisors (1188127680).

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

421216320 is a wasteful number, since it uses less digits than its factorization.

421216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 421216320 is about 20523.5552475686. Note that the first 3 decimals coincide. The cubic root of 421216320 is about 749.6094677925.

Adding to 421216320 its reverse (23612124), we get a palindrome (444828444).

The spelling of 421216320 in words is "four hundred twenty-one million, two hundred sixteen thousand, three hundred twenty".