426416 has 20 divisors (see below), whose sum is σ = 855600. Its totient is φ = 205632.

The previous prime is 426407. The next prime is 426421. The reversal of 426416 is 614624.

It is a happy number.

426416 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 426391 and 426400.

It is an unprimeable number.

426416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (42780).

2⁴²⁶⁴¹⁶ 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 426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427800).

426416 is an abundant number, since it is smaller than the sum of its proper divisors (429184).

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

426416 is a wasteful number, since it uses less digits than its factorization.

426416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 426416 is about 653.0053598555. The cubic root of 426416 is about 75.2681365246.

The spelling of 426416 in words is "four hundred twenty-six thousand, four hundred sixteen".