389846448 has 120 divisors (see below), whose sum is σ = 1163483568. Its totient is φ = 121430016.

The previous prime is 389846447. The next prime is 389846459. The reversal of 389846448 is 844648983.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 389846394 and 389846403.

It is not an unprimeable number, because it can be changed into a prime (389846447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398536 + ... + 399512.

Almost surely, 2^389846448 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 389846448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581741784).

389846448 is an abundant number, since it is smaller than the sum of its proper divisors (773637120).

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

389846448 is a wasteful number, since it uses less digits than its factorization.

389846448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 389846448 is about 19744.5295715041. The cubic root of 389846448 is about 730.5184582417.

The spelling of 389846448 in words is "three hundred eighty-nine million, eight hundred forty-six thousand, four hundred forty-eight".