426735 has 32 divisors (see below), whose sum is σ = 792000. Its totient is φ = 217728.

The previous prime is 426731. The next prime is 426737. The reversal of 426735 is 537624.

It is a happy number.

426735 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 426735 - 2² = 426731 is a prime.

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

It is a d-powerful number, because it can be written as 4⁸ + 2³ + 7⁴ + 6⁷ + 3⁶ + 5⁷ .

426735 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 426699 and 426708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3861 + ... + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (24750).

2⁴²⁶⁷³⁵ is an apocalyptic number.

426735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

426735 is the 327-th decagonal number.

426735 is a deficient number, since it is larger than the sum of its proper divisors (365265).

426735 is a wasteful number, since it uses less digits than its factorization.

426735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 426735 is about 653.2495694602. The cubic root of 426735 is about 75.2869011040.

Subtracting 426735 from its reverse (537624), we obtain a square (110889 = 333²).

The spelling of 426735 in words is "four hundred twenty-six thousand, seven hundred thirty-five".