389946960 has 240 divisors, whose sum is σ = 1463489664. Its totient is φ = 95924736.

The previous prime is 389946913. The next prime is 389947007. The reversal of 389946960 is 69649983.

It is a happy number.

389946960 is a `hidden beast` number, since 38 + 99 + 469 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (389946913) and next prime (389947007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×389946960² = 304117263226483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 389946897 and 389946906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251949 + ... + 253491.

Almost surely, 2^389946960 is an apocalyptic number.

389946960 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 389946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731744832).

389946960 is an abundant number, since it is smaller than the sum of its proper divisors (1073542704).

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

389946960 is a wasteful number, since it uses less digits than its factorization.

389946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 389946960 is about 19747.0747200693. The cubic root of 389946960 is about 730.5812347205.

It can be divided in two parts, 38994 and 6960, that added together give a palindrome (45954).

The spelling of 389946960 in words is "three hundred eighty-nine million, nine hundred forty-six thousand, nine hundred sixty".