426888 has 108 divisors (see below), whose sum is σ = 1478295. Its totient is φ = 110880.

The previous prime is 426871. The next prime is 426889. The reversal of 426888 is 888624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 213444 = 462^2 + 462^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=462.

It is a super-3 number, since 3×426888³ = 233379709570377216, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24576) is a multiple of the sum of its prime factors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426888.

It is not an unprimeable number, because it can be changed into a prime (426889) by changing a digit.

426888 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 26 ways as a sum of consecutive naturals, for example, 38803 + ... + 38813.

2⁴²⁶⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426888

426888 is an abundant number, since it is smaller than the sum of its proper divisors (1051407).

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

426888 is a wasteful number, since it uses less digits than its factorization.

426888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 23 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 426888 is about 653.3666658164. The cubic root of 426888 is about 75.2958977252.

It can be divided in two parts, 4268 and 88, that added together give a square (4356 = 66²).

The spelling of 426888 in words is "four hundred twenty-six thousand, eight hundred eighty-eight".