4290983424 has 480 divisors, whose sum is σ = 15848152320. Its totient is φ = 1128701952.

The previous prime is 4290983419. The next prime is 4290983461. The reversal of 4290983424 is 4243890924.

It is a happy number.

4290983424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4290983424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321667 + ... + 11322045.

It is an arithmetic number, because the mean of its divisors is an integer number (33016984).

Almost surely, 2^4290983424 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 4290983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924076160).

4290983424 is an abundant number, since it is smaller than the sum of its proper divisors (11557168896).

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

4290983424 is an equidigital number, since it uses as much as digits as its factorization.

4290983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4290983424 is about 65505.5984172345. The cubic root of 4290983424 is about 1624.9959351693.

The spelling of 4290983424 in words is "four billion, two hundred ninety million, nine hundred eighty-three thousand, four hundred twenty-four".