4005249248 has 192 divisors, whose sum is σ = 11146222080. Its totient is φ = 1364428800.

The previous prime is 4005249221. The next prime is 4005249271. The reversal of 4005249248 is 8429425004.

It is a happy number.

4005249248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605318 + ... + 611898.

It is an arithmetic number, because the mean of its divisors is an integer number (58053240).

Almost surely, 2^4005249248 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 4005249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573111040).

4005249248 is an abundant number, since it is smaller than the sum of its proper divisors (7140972832).

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

4005249248 is a wasteful number, since it uses less digits than its factorization.

4005249248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 4005249248 is about 63287.0385466092. The cubic root of 4005249248 is about 1588.0951369211.

The spelling of 4005249248 in words is "four billion, five million, two hundred forty-nine thousand, two hundred forty-eight".