426216 has 64 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 116928.

The previous prime is 426211. The next prime is 426229. The reversal of 426216 is 612624.

It is a happy number.

It is a super-3 number, since 3×426216³ = 232279296253337088, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 426192 and 426201.

It is not an unprimeable number, because it can be changed into a prime (426211) by changing a digit.

426216 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 15 ways as a sum of consecutive naturals, for example, 7195 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2⁴²⁶²¹⁶ 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 426216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633600).

426216 is an abundant number, since it is smaller than the sum of its proper divisors (840984).

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

426216 is a wasteful number, since it uses less digits than its factorization.

426216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 426216 is about 652.8522037950. The cubic root of 426216 is about 75.2563671246.

It can be divided in two parts, 4262 and 16, that added together give a triangular number (4278 = T₉₂).

The spelling of 426216 in words is "four hundred twenty-six thousand, two hundred sixteen".