426844400 has 60 divisors (see below), whose sum is σ = 1035181512. Its totient is φ = 169125120.

The previous prime is 426844387. The next prime is 426844441. The reversal of 426844400 is 4448624.

It is a super-3 number, since 3×426844400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37814 + ... + 47786.

Almost surely, 2^426844400 is an apocalyptic number.

426844400 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 426844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517590756).

426844400 is an abundant number, since it is smaller than the sum of its proper divisors (608337112).

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

426844400 is a wasteful number, since it uses less digits than its factorization.

426844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10098 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 426844400 is about 20660.2129708287. The cubic root of 426844400 is about 752.9333420122.

The spelling of 426844400 in words is "four hundred twenty-six million, eight hundred forty-four thousand, four hundred".