384601960 has 32 divisors (see below), whose sum is σ = 877215240. Its totient is φ = 151732224.

The previous prime is 384601949. The next prime is 384601963. The reversal of 384601960 is 69106483.

It can be written as a sum of positive squares in 4 ways, for example, as 345439396 + 39162564 = 18586^2 + 6258^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (384601963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62937 + ... + 68776.

Almost surely, 2^384601960 is an apocalyptic number.

It is an amenable number.

384601960 is an abundant number, since it is smaller than the sum of its proper divisors (492613280).

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

384601960 is a wasteful number, since it uses less digits than its factorization.

384601960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131797 (or 131793 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 384601960 is about 19611.2712489527. The cubic root of 384601960 is about 727.2278422867.

The spelling of 384601960 in words is "three hundred eighty-four million, six hundred one thousand, nine hundred sixty".