386652960 has 384 divisors, whose sum is σ = 1447891200. Its totient is φ = 96215040.

The previous prime is 386652899. The next prime is 386652991. The reversal of 386652960 is 69256683.

It is a happy number.

386652960 is a `hidden beast` number, since 3 + 8 + 66 + 529 + 60 = 666.

It is a super-2 number, since 2×386652960² = 299001022953523200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6553411 + ... + 6553469.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2^386652960 is an apocalyptic number.

386652960 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 386652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

386652960 is an abundant number, since it is smaller than the sum of its proper divisors (1061238240).

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

386652960 is a wasteful number, since it uses less digits than its factorization.

386652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 386652960 is about 19663.4930772739. The cubic root of 386652960 is about 728.5182679947.

The spelling of 386652960 in words is "three hundred eighty-six million, six hundred fifty-two thousand, nine hundred sixty".