389460960 has 432 divisors, whose sum is σ = 1606995936. Its totient is φ = 87340032.

The previous prime is 389460959. The next prime is 389461021. The reversal of 389460960 is 69064983.

389460960 is a `hidden beast` number, since 38 + 9 + 4 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 954 × 810 × 504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7348294 + ... + 7348346.

It is an arithmetic number, because the mean of its divisors is an integer number (3719898).

Almost surely, 2^389460960 is an apocalyptic number.

389460960 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 389460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803497968).

389460960 is an abundant number, since it is smaller than the sum of its proper divisors (1217534976).

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

389460960 is an frugal number, since it uses more digits than its factorization.

389460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 389460960 is about 19734.7652633620. The cubic root of 389460960 is about 730.2775950581.

The spelling of 389460960 in words is "three hundred eighty-nine million, four hundred sixty thousand, nine hundred sixty".