389352960 has 320 divisors, whose sum is σ = 1425980160. Its totient is φ = 100638720.

The previous prime is 389352949. The next prime is 389352973. The reversal of 389352960 is 69253983.

389352960 is a `hidden beast` number, since 38 + 93 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2972095 + ... + 2972225.

It is an arithmetic number, because the mean of its divisors is an integer number (4456188).

Almost surely, 2^389352960 is an apocalyptic number.

389352960 is a gapful number since it is divisible by the number (30) 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 389352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712990080).

389352960 is an abundant number, since it is smaller than the sum of its proper divisors (1036627200).

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

389352960 is a wasteful number, since it uses less digits than its factorization.

389352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 389352960 is about 19732.0287857078. The cubic root of 389352960 is about 730.2100852776.

The spelling of 389352960 in words is "three hundred eighty-nine million, three hundred fifty-two thousand, nine hundred sixty".