384646080 has 672 divisors, whose sum is σ = 1663695936. Its totient is φ = 74317824.

The previous prime is 384646079. The next prime is 384646123. The reversal of 384646080 is 80646483.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10395822 + ... + 10395858.

It is an arithmetic number, because the mean of its divisors is an integer number (2475738).

Almost surely, 2^384646080 is an apocalyptic number.

384646080 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 384646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831847968).

384646080 is an abundant number, since it is smaller than the sum of its proper divisors (1279049856).

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

384646080 is a wasteful number, since it uses less digits than its factorization.

384646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 384646080 is about 19612.3960800306. The cubic root of 384646080 is about 727.2556494475.

It can be divided in two parts, 38464 and 6080, that added together give a palindrome (44544).

The spelling of 384646080 in words is "three hundred eighty-four million, six hundred forty-six thousand, eighty".