426223440 has 240 divisors, whose sum is σ = 1501578000. Its totient is φ = 108208128.

The previous prime is 426223429. The next prime is 426223451. The reversal of 426223440 is 44322624.

426223440 is a `hidden beast` number, since 4 + 2 + 622 + 34 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426223429) and next prime (426223451).

It can be written as a sum of positive squares in 8 ways, for example, as 22695696 + 403527744 = 4764^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860486 + ... + 2860634.

It is an arithmetic number, because the mean of its divisors is an integer number (6256575).

Almost surely, 2^426223440 is an apocalyptic number.

426223440 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 426223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750789000).

426223440 is an abundant number, since it is smaller than the sum of its proper divisors (1075354560).

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

426223440 is a wasteful number, since it uses less digits than its factorization.

426223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 426223440 is about 20645.1795826532. The cubic root of 426223440 is about 752.5680501220.

The spelling of 426223440 in words is "four hundred twenty-six million, two hundred twenty-three thousand, four hundred forty".