420221312 has 64 divisors (see below), whose sum is σ = 974916000. Its totient is φ = 176676864.

The previous prime is 420221311. The next prime is 420221353. The reversal of 420221312 is 213122024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420221311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43064 + ... + 51912.

Almost surely, 2^420221312 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 420221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487458000).

420221312 is an abundant number, since it is smaller than the sum of its proper divisors (554694688).

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

420221312 is an equidigital number, since it uses as much as digits as its factorization.

420221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420221312 is about 20499.3002807413. The cubic root of 420221312 is about 749.0187535077.

Adding to 420221312 its reverse (213122024), we get a palindrome (633343336).

It can be divided in two parts, 42022 and 1312, that added together give a palindrome (43334).

The spelling of 420221312 in words is "four hundred twenty million, two hundred twenty-one thousand, three hundred twelve".