426756 has 48 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 124800.

The previous prime is 426743. The next prime is 426757. The reversal of 426756 is 657624.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426756.

It is not an unprimeable number, because it can be changed into a prime (426757) by changing a digit.

426756 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, 6966 + ... + 7026.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁴²⁶⁷⁵⁶ 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 426756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

426756 is an abundant number, since it is smaller than the sum of its proper divisors (698172).

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

426756 is a wasteful number, since it uses less digits than its factorization.

426756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 426756 is about 653.2656427519. The cubic root of 426756 is about 75.2881360617.

The spelling of 426756 in words is "four hundred twenty-six thousand, seven hundred fifty-six".