384534800 has 120 divisors (see below), whose sum is σ = 1009534344. Its totient is φ = 139898880.

The previous prime is 384534797. The next prime is 384534803. The reversal of 384534800 is 8435483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384534797) and next prime (384534803).

It can be written as a sum of positive squares in 12 ways, for example, as 294740224 + 89794576 = 17168^2 + 9476^2 .

It is a super-2 number, since 2×384534800² = 295734024822080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384534803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379094 + ... + 380106.

Almost surely, 2^384534800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504767172).

384534800 is an abundant number, since it is smaller than the sum of its proper divisors (624999544).

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

384534800 is a wasteful number, since it uses less digits than its factorization.

384534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 384534800 is about 19609.5588935600. The cubic root of 384534800 is about 727.1855098061.

The spelling of 384534800 in words is "three hundred eighty-four million, five hundred thirty-four thousand, eight hundred".