389764224 has 112 divisors (see below), whose sum is σ = 1164471270. Its totient is φ = 129890304.

The previous prime is 389764223. The next prime is 389764229. The reversal of 389764224 is 422467983.

It can be written as a sum of positive squares in only one way, i.e., 248629824 + 141134400 = 15768^2 + 11880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 389764224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389764223) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 91224 + ... + 95400.

Almost surely, 2^389764224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582235635).

389764224 is an abundant number, since it is smaller than the sum of its proper divisors (774707046).

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

389764224 is an frugal number, since it uses more digits than its factorization.

389764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4182 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 389764224 is about 19742.4472647137. The cubic root of 389764224 is about 730.4670958198.

It can be divided in two parts, 3897 and 64224, that added together give a square (68121 = 261²).

The spelling of 389764224 in words is "three hundred eighty-nine million, seven hundred sixty-four thousand, two hundred twenty-four".