426898368 has 168 divisors, whose sum is σ = 1346899008. Its totient is φ = 128452608.

The previous prime is 426898361. The next prime is 426898387. The reversal of 426898368 is 863898624.

426898368 is a `hidden beast` number, since 426 + 89 + 83 + 68 = 666.

It is a super-3 number, since 3×426898368³ (a number of 27 digits) contains 333 as substring.

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 (426898361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351330 + ... + 352542.

It is an arithmetic number, because the mean of its divisors is an integer number (8017256).

Almost surely, 2^426898368 is an apocalyptic number.

426898368 is a gapful number since it is divisible by the number (48) 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 426898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673449504).

426898368 is an abundant number, since it is smaller than the sum of its proper divisors (920000640).

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

426898368 is a wasteful number, since it uses less digits than its factorization.

426898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1278 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 426898368 is about 20661.5190148256. The cubic root of 426898368 is about 752.9650730084.

The spelling of 426898368 in words is "four hundred twenty-six million, eight hundred ninety-eight thousand, three hundred sixty-eight".