384231960 has 192 divisors, whose sum is σ = 1511265600. Its totient is φ = 82649088.

The previous prime is 384231959. The next prime is 384231989. The reversal of 384231960 is 69132483.

It is a super-3 number, since 3×384231960³ (a number of 27 digits) contains 333 as substring.

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

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, 38356 + ... + 47324.

It is an arithmetic number, because the mean of its divisors is an integer number (7871175).

Almost surely, 2^384231960 is an apocalyptic number.

384231960 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 384231960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755632800).

384231960 is an abundant number, since it is smaller than the sum of its proper divisors (1127033640).

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

384231960 is a wasteful number, since it uses less digits than its factorization.

384231960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 384231960 is about 19601.8356283283. The cubic root of 384231960 is about 726.9945615949.

The spelling of 384231960 in words is "three hundred eighty-four million, two hundred thirty-one thousand, nine hundred sixty".