420344144 has 80 divisors (see below), whose sum is σ = 940505280. Its totient is φ = 179988480.

The previous prime is 420344117. The next prime is 420344149. The reversal of 420344144 is 441443024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420344149) 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 15 ways as a sum of consecutive naturals, for example, 1126742 + ... + 1127114.

It is an arithmetic number, because the mean of its divisors is an integer number (11756316).

Almost surely, 2^420344144 is an apocalyptic number.

420344144 is a gapful number since it is divisible by the number (44) 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 420344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470252640).

420344144 is an abundant number, since it is smaller than the sum of its proper divisors (520161136).

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

420344144 is a wasteful number, since it uses less digits than its factorization.

420344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 420344144 is about 20502.2960665385. The cubic root of 420344144 is about 749.0917265706.

Adding to 420344144 its reverse (441443024), we get a palindrome (861787168).

The spelling of 420344144 in words is "four hundred twenty million, three hundred forty-four thousand, one hundred forty-four".