384430752 has 144 divisors (see below), whose sum is σ = 1161095040. Its totient is φ = 123742080.

The previous prime is 384430747. The next prime is 384430769. The reversal of 384430752 is 257034483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830073 + ... + 830535.

It is an arithmetic number, because the mean of its divisors is an integer number (8063160).

Almost surely, 2^384430752 is an apocalyptic number.

384430752 is a gapful number since it is divisible by the number (32) 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 384430752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580547520).

384430752 is an abundant number, since it is smaller than the sum of its proper divisors (776664288).

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

384430752 is a wasteful number, since it uses less digits than its factorization.

384430752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 384430752 is about 19606.9057222194. The cubic root of 384430752 is about 727.1199162428.

It can be divided in two parts, 3844 and 30752, that added together give a square (34596 = 186²).

The spelling of 384430752 in words is "three hundred eighty-four million, four hundred thirty thousand, seven hundred fifty-two".