424144116 has 72 divisors (see below), whose sum is σ = 1172965248. Its totient is φ = 128160000.

The previous prime is 424144069. The next prime is 424144129. The reversal of 424144116 is 611441424.

424144116 is a `hidden beast` number, since 4 + 241 + 4 + 411 + 6 = 666.

It is a super-2 number, since 2×424144116² = 359796462274842912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424144116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157461 + ... + 160131.

It is an arithmetic number, because the mean of its divisors is an integer number (16291184).

Almost surely, 2^424144116 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 424144116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586482624).

424144116 is an abundant number, since it is smaller than the sum of its proper divisors (748821132).

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

424144116 is a wasteful number, since it uses less digits than its factorization.

424144116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3088 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 424144116 is about 20594.7594304959. The cubic root of 424144116 is about 751.3422576927.

The spelling of 424144116 in words is "four hundred twenty-four million, one hundred forty-four thousand, one hundred sixteen".