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426789216 = 25337217593

426789216 has 288 divisors, whose sum is σ = 1535798880. Its totient is φ = 114573312.

The previous prime is 426789197. The next prime is 426789217. The reversal of 426789216 is 612987624.

It is a happy number.

426789216 is a `hidden beast` number, since 426 + 7 + 8 + 9 + 216 = 666.

426789216 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426789217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719416 + ... + 720008.

It is an arithmetic number, because the mean of its divisors is an integer number (5332635).

Almost surely, 2426789216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426789216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767899440).

426789216 is an abundant number, since it is smaller than the sum of its proper divisors (1109009664).

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

426789216 is a wasteful number, since it uses less digits than its factorization.

426789216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 426789216 is about 20658.8774138383. The cubic root of 426789216 is about 752.9008932914.

The spelling of 426789216 in words is "four hundred twenty-six million, seven hundred eighty-nine thousand, two hundred sixteen".