416944 has 40 divisors (see below), whose sum is σ = 928512. Its totient is φ = 179520.

The previous prime is 416887. The next prime is 416947. The reversal of 416944 is 449614.

416944 = 96² + 97² + ... + 128².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3997 + ... + 4099.

2⁴¹⁶⁹⁴⁴ is an apocalyptic number.

416944 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 416944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

416944 is an abundant number, since it is smaller than the sum of its proper divisors (511568).

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

416944 is a wasteful number, since it uses less digits than its factorization.

416944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 416944 is about 645.7120101098. The cubic root of 416944 is about 74.7066466729.

It can be divided in two parts, 4 and 16944, that multiplied together give a palindrome (67776).

The spelling of 416944 in words is "four hundred sixteen thousand, nine hundred forty-four".