384558720 has 512 divisors, whose sum is σ = 1579253760. Its totient is φ = 77414400.

The previous prime is 384558709. The next prime is 384558737. The reversal of 384558720 is 27855483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5416285 + ... + 5416355.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^384558720 is an apocalyptic number.

384558720 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 384558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789626880).

384558720 is an abundant number, since it is smaller than the sum of its proper divisors (1194695040).

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

384558720 is a wasteful number, since it uses less digits than its factorization.

384558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 384558720 is about 19610.1687907065. The cubic root of 384558720 is about 727.2005876931.

The spelling of 384558720 in words is "three hundred eighty-four million, five hundred fifty-eight thousand, seven hundred twenty".