426807 has 12 divisors (see below), whose sum is σ = 630240. Its totient is φ = 278208.

The previous prime is 426799. The next prime is 426841. The reversal of 426807 is 708624.

It is not a de Polignac number, because 426807 - 2³ = 426799 is a prime.

It is a super-3 number, since 3×426807³ = 233246886653339829, which contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

426807 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426807.

It is not an unprimeable number, because it can be changed into a prime (426007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (52520).

2⁴²⁶⁸⁰⁷ is an apocalyptic number.

426807 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

426807 is a deficient number, since it is larger than the sum of its proper divisors (203433).

426807 is a wasteful number, since it uses less digits than its factorization.

426807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 426807 is about 653.3046762423. The cubic root of 426807 is about 75.2911350759.

The spelling of 426807 in words is "four hundred twenty-six thousand, eight hundred seven".