389398464 has 672 divisors, whose sum is σ = 1597639680. Its totient is φ = 87588864.

The previous prime is 389398453. The next prime is 389398469. The reversal of 389398464 is 464893983.

It is a happy number.

389398464 is a `hidden beast` number, since 3 + 8 + 93 + 98 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 389398464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389398469) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16930357 + ... + 16930379.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^389398464 is an apocalyptic number.

389398464 is a gapful number since it is divisible by the number (34) 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 389398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

389398464 is an abundant number, since it is smaller than the sum of its proper divisors (1208241216).

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

389398464 is a wasteful number, since it uses less digits than its factorization.

389398464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 389398464 is about 19733.1818012200. The cubic root of 389398464 is about 730.2385309201.

The spelling of 389398464 in words is "three hundred eighty-nine million, three hundred ninety-eight thousand, four hundred sixty-four".