416416 has 72 divisors (see below), whose sum is σ = 1106784. Its totient is φ = 149760.

The previous prime is 416413. The next prime is 416417. The reversal of 416416 is 614614.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32026 + ... + 32038.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

2⁴¹⁶⁴¹⁶ 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 416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553392).

416416 is an abundant number, since it is smaller than the sum of its proper divisors (690368).

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

416416 is a wasteful number, since it uses less digits than its factorization.

416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 33 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 416416 is about 645.3030295915. The cubic root of 416416 is about 74.6750982542.

The spelling of 416416 in words is "four hundred sixteen thousand, four hundred sixteen".