426102768 has 200 divisors, whose sum is σ = 1518284768. Its totient is φ = 112347648.

The previous prime is 426102763. The next prime is 426102839. The reversal of 426102768 is 867201624.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426102763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116130 + ... + 119742.

Almost surely, 2^426102768 is an apocalyptic number.

426102768 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 426102768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759142384).

426102768 is an abundant number, since it is smaller than the sum of its proper divisors (1092182000).

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

426102768 is a wasteful number, since it uses less digits than its factorization.

426102768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 426102768 is about 20642.2568533579. The cubic root of 426102768 is about 752.4970212867.

The spelling of 426102768 in words is "four hundred twenty-six million, one hundred two thousand, seven hundred sixty-eight".