864792448 has 128 divisors (see below), whose sum is σ = 2069172000. Its totient is φ = 355663872.

The previous prime is 864792437. The next prime is 864792457. The reversal of 864792448 is 844297468.

864792448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 864792395 and 864792404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536668 + ... + 538276.

Almost surely, 2^864792448 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 864792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034586000).

864792448 is an abundant number, since it is smaller than the sum of its proper divisors (1204379552).

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

864792448 is a wasteful number, since it uses less digits than its factorization.

864792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The square root of 864792448 is about 29407.3536381634. The cubic root of 864792448 is about 952.7317303473.

The spelling of 864792448 in words is "eight hundred sixty-four million, seven hundred ninety-two thousand, four hundred forty-eight".