416144 has 20 divisors (see below), whose sum is σ = 833280. Its totient is φ = 201120.

The previous prime is 416107. The next prime is 416147. The reversal of 416144 is 441614.

It is a happy number.

416144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

416144 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (416147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2⁴¹⁶¹⁴⁴ 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 416144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

416144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

416144 is a wasteful number, since it uses less digits than its factorization.

416144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 416144 is about 645.0922414663. The cubic root of 416144 is about 74.6588356300.

Adding to 416144 its reverse (441614), we get a palindrome (857758).

The spelling of 416144 in words is "four hundred sixteen thousand, one hundred forty-four".