426768 has 40 divisors (see below), whose sum is σ = 1169568. Its totient is φ = 133632.

The previous prime is 426763. The next prime is 426773. The reversal of 426768 is 867624.

It is an interprime number because it is at equal distance from previous prime (426763) and next prime (426773).

It is not an unprimeable number, because it can be changed into a prime (426761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555 + ... + 1077.

2⁴²⁶⁷⁶⁸ is an apocalyptic number.

426768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584784).

426768 is an abundant number, since it is smaller than the sum of its proper divisors (742800).

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

426768 is a wasteful number, since it uses less digits than its factorization.

426768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 426768 is about 653.2748273124. The cubic root of 426768 is about 75.2888417336.

The spelling of 426768 in words is "four hundred twenty-six thousand, seven hundred sixty-eight".