420044144 has 80 divisors (see below), whose sum is σ = 898275840. Its totient is φ = 189112320.

The previous prime is 420044137. The next prime is 420044161. The reversal of 420044144 is 441440024.

It is a congruent number.

It is an unprimeable number.

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, 2199089 + ... + 2199279.

It is an arithmetic number, because the mean of its divisors is an integer number (11228448).

Almost surely, 2^420044144 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 420044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449137920).

420044144 is an abundant number, since it is smaller than the sum of its proper divisors (478231696).

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

420044144 is a wasteful number, since it uses less digits than its factorization.

420044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 420044144 is about 20494.9785069416. The cubic root of 420044144 is about 748.9134750077.

Adding to 420044144 its reverse (441440024), we get a palindrome (861484168).

The spelling of 420044144 in words is "four hundred twenty million, forty-four thousand, one hundred forty-four".