421516216 has 128 divisors (see below), whose sum is σ = 965260800. Its totient is φ = 170311680.

The previous prime is 421516169. The next prime is 421516217. The reversal of 421516216 is 612615124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421516217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3730176 + ... + 3730288.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^421516216 is an apocalyptic number.

421516216 is a gapful number since it is divisible by the number (46) 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 421516216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

421516216 is an abundant number, since it is smaller than the sum of its proper divisors (543744584).

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

421516216 is a wasteful number, since it uses less digits than its factorization.

421516216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 421516216 is about 20530.8600891439. The cubic root of 421516216 is about 749.7873269585.

The spelling of 421516216 in words is "four hundred twenty-one million, five hundred sixteen thousand, two hundred sixteen".