386760960 has 432 divisors, whose sum is σ = 1495226880. Its totient is φ = 94556160.

The previous prime is 386760953. The next prime is 386760971. The reversal of 386760960 is 69067683.

386760960 is a `hidden beast` number, since 38 + 6 + 7 + 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 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, 12476145 + ... + 12476175.

Almost surely, 2^386760960 is an apocalyptic number.

386760960 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 386760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747613440).

386760960 is an abundant number, since it is smaller than the sum of its proper divisors (1108465920).

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

386760960 is a wasteful number, since it uses less digits than its factorization.

386760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 386760960 is about 19666.2390913972. The cubic root of 386760960 is about 728.5860916476.

The spelling of 386760960 in words is "three hundred eighty-six million, seven hundred sixty thousand, nine hundred sixty".