426816 has 112 divisors (see below), whose sum is σ = 1422400. Its totient is φ = 124416.

The previous prime is 426799. The next prime is 426841. The reversal of 426816 is 618624.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 426816.

It is a congruent number.

It is an unprimeable number.

426816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22455 + ... + 22473.

It is an arithmetic number, because the mean of its divisors is an integer number (12700).

2⁴²⁶⁸¹⁶ 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 426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711200).

426816 is an abundant number, since it is smaller than the sum of its proper divisors (995584).

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

426816 is a wasteful number, since it uses less digits than its factorization.

426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 37 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 426816 is about 653.3115642632. The cubic root of 426816 is about 75.2916642889.

The spelling of 426816 in words is "four hundred twenty-six thousand, eight hundred sixteen".