389264640 has 288 divisors, whose sum is σ = 1351002240. Its totient is φ = 95158272.

The previous prime is 389264633. The next prime is 389264653. The reversal of 389264640 is 46462983.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 389264592 and 389264601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373716 + ... + 4373804.

It is an arithmetic number, because the mean of its divisors is an integer number (4690980).

Almost surely, 2^389264640 is an apocalyptic number.

389264640 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 389264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675501120).

389264640 is an abundant number, since it is smaller than the sum of its proper divisors (961737600).

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

389264640 is a wasteful number, since it uses less digits than its factorization.

389264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 389264640 is about 19729.7906729899. The cubic root of 389264640 is about 730.1548679997.

The spelling of 389264640 in words is "three hundred eighty-nine million, two hundred sixty-four thousand, six hundred forty".