864038448 has 320 divisors, whose sum is σ = 3155353600. Its totient is φ = 220216320.

The previous prime is 864038443. The next prime is 864038503. The reversal of 864038448 is 844830468.

It is not an unprimeable number, because it can be changed into a prime (864038443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218318 + ... + 1219026.

It is an arithmetic number, because the mean of its divisors is an integer number (9860480).

Almost surely, 2^864038448 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 864038448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577676800).

864038448 is an abundant number, since it is smaller than the sum of its proper divisors (2291315152).

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

864038448 is a wasteful number, since it uses less digits than its factorization.

864038448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 864038448 is about 29394.5309198837. The cubic root of 864038448 is about 952.4547588407.

The spelling of 864038448 in words is "eight hundred sixty-four million, thirty-eight thousand, four hundred forty-eight".