4005463296 has 288 divisors, whose sum is σ = 11920608000. Its totient is φ = 1188167680.

The previous prime is 4005463243. The next prime is 4005463333. The reversal of 4005463296 is 6923645004.

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, 26882230 + ... + 26882378.

It is an arithmetic number, because the mean of its divisors is an integer number (41391000).

Almost surely, 2^4005463296 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 4005463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960304000).

4005463296 is an abundant number, since it is smaller than the sum of its proper divisors (7915144704).

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

4005463296 is a wasteful number, since it uses less digits than its factorization.

4005463296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 4005463296 is about 63288.7296127833. The cubic root of 4005463296 is about 1588.1234266738.

The spelling of 4005463296 in words is "four billion, five million, four hundred sixty-three thousand, two hundred ninety-six".