389824512 has 240 divisors, whose sum is σ = 1308582912. Its totient is φ = 100270080.

The previous prime is 389824511. The next prime is 389824517. The reversal of 389824512 is 215428983.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (389824511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784653 + ... + 3784755.

Almost surely, 2^389824512 is an apocalyptic number.

389824512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389824512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654291456).

389824512 is an abundant number, since it is smaller than the sum of its proper divisors (918758400).

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

389824512 is a wasteful number, since it uses less digits than its factorization.

389824512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 389824512 is about 19743.9740680543. The cubic root of 389824512 is about 730.5047563055.

The spelling of 389824512 in words is "three hundred eighty-nine million, eight hundred twenty-four thousand, five hundred twelve".