4289894784 has 768 divisors, whose sum is σ = 16573939200. Its totient is φ = 1074954240.

The previous prime is 4289894771. The next prime is 4289894789. The reversal of 4289894784 is 4874989824.

4289894784 is a `hidden beast` number, since 4 + 2 + 89 + 89 + 478 + 4 = 666.

It is a super-3 number, since 3×4289894784³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (4289894789) 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 95 ways as a sum of consecutive naturals, for example, 70326114 + ... + 70326174.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^4289894784 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 4289894784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286969600).

4289894784 is an abundant number, since it is smaller than the sum of its proper divisors (12284044416).

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

4289894784 is a wasteful number, since it uses less digits than its factorization.

4289894784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 4289894784 is about 65497.2883713517. The cubic root of 4289894784 is about 1624.8585008468.

The spelling of 4289894784 in words is "four billion, two hundred eighty-nine million, eight hundred ninety-four thousand, seven hundred eighty-four".