426888000 has 756 divisors, whose sum is σ = 1952532036. Its totient is φ = 88704000.

The previous prime is 426887963. The next prime is 426888001. The reversal of 426888000 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 2 ways, for example, as 13660416 + 413227584 = 3696^2 + 20328^2 .

It is a super-3 number, since 3×426888000³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38807995 + ... + 38808005.

Almost surely, 2^426888000 is an apocalyptic number.

426888000 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 426888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976266018).

426888000 is an abundant number, since it is smaller than the sum of its proper divisors (1525644036).

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

426888000 is a wasteful number, since it uses less digits than its factorization.

426888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

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

The square root of 426888000 is about 20661.2681120981. The cubic root of 426888000 is about 752.9589772523.

The spelling of 426888000 in words is "four hundred twenty-six million, eight hundred eighty-eight thousand".