384946640 has 80 divisors (see below), whose sum is σ = 1020590928. Its totient is φ = 133767168.

The previous prime is 384946577. The next prime is 384946643. The reversal of 384946640 is 46649483.

It can be written as a sum of positive squares in 8 ways, for example, as 38837824 + 346108816 = 6232^2 + 18604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 384946591 and 384946600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384946643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6794 + ... + 28566.

Almost surely, 2^384946640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510295464).

384946640 is an abundant number, since it is smaller than the sum of its proper divisors (635644288).

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

384946640 is a wasteful number, since it uses less digits than its factorization.

384946640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21816 (or 21810 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 384946640 is about 19620.0570845245. The cubic root of 384946640 is about 727.4450244432.

The spelling of 384946640 in words is "three hundred eighty-four million, nine hundred forty-six thousand, six hundred forty".