384760320 has 320 divisors, whose sum is σ = 1491975936. Its totient is φ = 82575360.

The previous prime is 384760309. The next prime is 384760349. The reversal of 384760320 is 23067483.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913710 + ... + 914130.

Almost surely, 2^384760320 is an apocalyptic number.

384760320 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 384760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745987968).

384760320 is an abundant number, since it is smaller than the sum of its proper divisors (1107215616).

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

384760320 is a wasteful number, since it uses less digits than its factorization.

384760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 384760320 is about 19615.3083075439. The cubic root of 384760320 is about 727.3276407021.

The spelling of 384760320 in words is "three hundred eighty-four million, seven hundred sixty thousand, three hundred twenty".