420322240 has 168 divisors, whose sum is σ = 1132685568. Its totient is φ = 147671040.

The previous prime is 420322187. The next prime is 420322249. The reversal of 420322240 is 42223024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420322249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200545 + ... + 2200735.

It is an arithmetic number, because the mean of its divisors is an integer number (6742176).

Almost surely, 2^420322240 is an apocalyptic number.

420322240 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 420322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566342784).

420322240 is an abundant number, since it is smaller than the sum of its proper divisors (712363328).

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

420322240 is a wasteful number, since it uses less digits than its factorization.

420322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 420322240 is about 20501.7618755072. The cubic root of 420322240 is about 749.0787147005.

Adding to 420322240 its reverse (42223024), we get a palindrome (462545264).

The spelling of 420322240 in words is "four hundred twenty million, three hundred twenty-two thousand, two hundred forty".