789248448 has 168 divisors, whose sum is σ = 2470424320. Its totient is φ = 249143040.

The previous prime is 789248431. The next prime is 789248489. The reversal of 789248448 is 844842987.

789248448 is a `hidden beast` number, since 78 + 92 + 48 + 448 = 666.

789248448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×789248448² = 1245826225340817408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 789248394 and 789248403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294153 + ... + 296823.

Almost surely, 2^789248448 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 789248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235212160).

789248448 is an abundant number, since it is smaller than the sum of its proper divisors (1681175872).

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

789248448 is a wasteful number, since it uses less digits than its factorization.

789248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2695 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 789248448 is about 28093.5659537909. The cubic root of 789248448 is about 924.1403058993.

The spelling of 789248448 in words is "seven hundred eighty-nine million, two hundred forty-eight thousand, four hundred forty-eight".