426600 has 96 divisors (see below), whose sum is σ = 1488000. Its totient is φ = 112320.

The previous prime is 426583. The next prime is 426611. The reversal of 426600 is 6624.

426600 = 34³ + 35³ + ... + 41³.

426600 is a `hidden beast` number, since 4 + 2 + 660 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426600.

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 23 ways as a sum of consecutive naturals, for example, 5361 + ... + 5439.

It is an arithmetic number, because the mean of its divisors is an integer number (15500).

2⁴²⁶⁶⁰⁰ is an apocalyptic number.

426600 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 426600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744000).

426600 is an abundant number, since it is smaller than the sum of its proper divisors (1061400).

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

426600 is a wasteful number, since it uses less digits than its factorization.

426600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 426600 is about 653.1462317123. The cubic root of 426600 is about 75.2789611228.

The spelling of 426600 in words is "four hundred twenty-six thousand, six hundred".