426844800 has 144 divisors (see below), whose sum is σ = 1523182830. Its totient is φ = 113817600.

The previous prime is 426844777. The next prime is 426844811. The reversal of 426844800 is 8448624.

It can be written as a sum of positive squares in 3 ways, for example, as 304432704 + 122412096 = 17448^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×426844800³ (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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21390 + ... + 36210.

Almost surely, 2^426844800 is an apocalyptic number.

426844800 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 426844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761591415).

426844800 is an abundant number, since it is smaller than the sum of its proper divisors (1096338030).

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

426844800 is a wasteful number, since it uses less digits than its factorization.

426844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14851 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 426844800 is about 20660.2226512688. Note that the first 3 decimals coincide. The cubic root of 426844800 is about 752.9335772058.

The spelling of 426844800 in words is "four hundred twenty-six million, eight hundred forty-four thousand, eight hundred".