4246444000 has 192 divisors, whose sum is σ = 11018996352. Its totient is φ = 1605120000.

The previous prime is 4246443983. The next prime is 4246444003. The reversal of 4246444000 is 4446424.

It is a self number, because there is not a number n which added to its sum of digits gives 4246444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4246444003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9291772 + ... + 9292228.

It is an arithmetic number, because the mean of its divisors is an integer number (57390606).

Almost surely, 2^4246444000 is an apocalyptic number.

4246444000 is a gapful number since it is divisible by the number (40) 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 4246444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509498176).

4246444000 is an abundant number, since it is smaller than the sum of its proper divisors (6772552352).

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

4246444000 is a wasteful number, since it uses less digits than its factorization.

4246444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4246444000 is about 65164.7450697077. The cubic root of 4246444000 is about 1619.3540075396.

The spelling of 4246444000 in words is "four billion, two hundred forty-six million, four hundred forty-four thousand".