420224200 has 96 divisors (see below), whose sum is σ = 1071493920. Its totient is φ = 152000000.

The previous prime is 420224183. The next prime is 420224213. The reversal of 420224200 is 2422024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551820 + ... + 552580.

It is an arithmetic number, because the mean of its divisors is an integer number (11161395).

Almost surely, 2^420224200 is an apocalyptic number.

420224200 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 420224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535746960).

420224200 is an abundant number, since it is smaller than the sum of its proper divisors (651269720).

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

420224200 is a wasteful number, since it uses less digits than its factorization.

420224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 420224200 is about 20499.3707220490. The cubic root of 420224200 is about 749.0204693982.

Adding to 420224200 its reverse (2422024), we get a palindrome (422646224).

The spelling of 420224200 in words is "four hundred twenty million, two hundred twenty-four thousand, two hundred".