384303360 has 432 divisors, whose sum is σ = 1538199936. Its totient is φ = 79822848.

The previous prime is 384303323. The next prime is 384303401. The reversal of 384303360 is 63303483.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13251826 + ... + 13251854.

It is an arithmetic number, because the mean of its divisors is an integer number (3560648).

Almost surely, 2^384303360 is an apocalyptic number.

384303360 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 384303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769099968).

384303360 is an abundant number, since it is smaller than the sum of its proper divisors (1153896576).

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

384303360 is a wasteful number, since it uses less digits than its factorization.

384303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 384303360 is about 19603.6568017296. The cubic root of 384303360 is about 727.0395901212.

The spelling of 384303360 in words is "three hundred eighty-four million, three hundred three thousand, three hundred sixty".