384663040 has 160 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 143007744.

The previous prime is 384662969. The next prime is 384663053. The reversal of 384663040 is 40366483.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 384662987 and 384663005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2767291 + ... + 2767429.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^384663040 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 384663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

384663040 is an abundant number, since it is smaller than the sum of its proper divisors (605273600).

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

384663040 is a wasteful number, since it uses less digits than its factorization.

384663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 384663040 is about 19612.8284548660. The cubic root of 384663040 is about 727.2663381257.

The spelling of 384663040 in words is "three hundred eighty-four million, six hundred sixty-three thousand, forty".