426800 has 60 divisors (see below), whose sum is σ = 1130136. Its totient is φ = 153600.

The previous prime is 426799. The next prime is 426841. The reversal of 426800 is 8624.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426800.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 4352 + ... + 4448.

2⁴²⁶⁸⁰⁰ is an apocalyptic number.

426800 is a gapful number since it is divisible by the number (40) 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 426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565068).

426800 is an abundant number, since it is smaller than the sum of its proper divisors (703336).

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

426800 is a wasteful number, since it uses less digits than its factorization.

426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 426800 is about 653.2993188424. The cubic root of 426800 is about 75.2907234607.

The spelling of 426800 in words is "four hundred twenty-six thousand, eight hundred".