384531840 has 768 divisors, whose sum is σ = 1803686400. Its totient is φ = 75202560.

The previous prime is 384531821. The next prime is 384531859. The reversal of 384531840 is 48135483.

384531840 is a `hidden beast` number, since 3 + 84 + 531 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (384531821) and next prime (384531859).

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

It is a junction number, because it is equal to n+sod(n) for n = 384531795 and 384531804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22619512 + ... + 22619528.

It is an arithmetic number, because the mean of its divisors is an integer number (2348550).

Almost surely, 2^384531840 is an apocalyptic number.

384531840 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 384531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901843200).

384531840 is an abundant number, since it is smaller than the sum of its proper divisors (1419154560).

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

384531840 is a wasteful number, since it uses less digits than its factorization.

384531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 384531840 is about 19609.4834200190. The cubic root of 384531840 is about 727.1836439371.

The spelling of 384531840 in words is "three hundred eighty-four million, five hundred thirty-one thousand, eight hundred forty".