389430756 has 243 divisors, whose sum is σ = 1224811497. Its totient is φ = 104195520.

The previous prime is 389430719. The next prime is 389430761. The reversal of 389430756 is 657034983.

The square root of 389430756 is 19734.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57608100 + 331822656 = 7590^2 + 18216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16931761 + ... + 16931783.

Almost surely, 2^389430756 is an apocalyptic number.

389430756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

389430756 is the 19734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389430756

389430756 is an abundant number, since it is smaller than the sum of its proper divisors (835380741).

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

389430756 is a wasteful number, since it uses less digits than its factorization.

389430756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The cubic root of 389430756 is about 730.2587160801.

The spelling of 389430756 in words is "three hundred eighty-nine million, four hundred thirty thousand, seven hundred fifty-six".