426444000 has 96 divisors (see below), whose sum is σ = 1397069856. Its totient is φ = 113715200.

The previous prime is 426443959. The next prime is 426444001. The reversal of 426444000 is 444624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426444001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5769 + ... + 29768.

It is an arithmetic number, because the mean of its divisors is an integer number (14552811).

Almost surely, 2^426444000 is an apocalyptic number.

426444000 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 426444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698534928).

426444000 is an abundant number, since it is smaller than the sum of its proper divisors (970625856).

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

426444000 is a wasteful number, since it uses less digits than its factorization.

426444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35565 (or 35547 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 426444000 is about 20650.5205745521. The cubic root of 426444000 is about 752.6978394691.

Adding to 426444000 its reverse (444624), we get a palindrome (426888624).

The spelling of 426444000 in words is "four hundred twenty-six million, four hundred forty-four thousand".