4289462016 has 144 divisors (see below), whose sum is σ = 13078329600. Its totient is φ = 1222631424.

The previous prime is 4289461999. The next prime is 4289462017. The reversal of 4289462016 is 6102649824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289462017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327100 + ... + 3328388.

Almost surely, 2^4289462016 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 4289462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539164800).

4289462016 is an abundant number, since it is smaller than the sum of its proper divisors (8788867584).

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

4289462016 is a wasteful number, since it uses less digits than its factorization.

4289462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4289462016 is about 65493.9845787382. The cubic root of 4289462016 is about 1624.8038600031.

The spelling of 4289462016 in words is "four billion, two hundred eighty-nine million, four hundred sixty-two thousand, sixteen".