389151360 has 192 divisors, whose sum is σ = 1447435080. Its totient is φ = 95772672.

The previous prime is 389151359. The next prime is 389151361. The reversal of 389151360 is 63151983.

It is a happy number.

389151360 is a `hidden beast` number, since 3 + 89 + 1 + 513 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (389151359) and next prime (389151361).

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 153958464 = 15336^2 + 12408^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389151361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72282 + ... + 77478.

Almost surely, 2^389151360 is an apocalyptic number.

389151360 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 389151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723717540).

389151360 is an abundant number, since it is smaller than the sum of its proper divisors (1058283720).

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

389151360 is a wasteful number, since it uses less digits than its factorization.

389151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 389151360 is about 19726.9196784495. The cubic root of 389151360 is about 730.0840336113.

The spelling of 389151360 in words is "three hundred eighty-nine million, one hundred fifty-one thousand, three hundred sixty".