384280200 has 144 divisors (see below), whose sum is σ = 1338508080. Its totient is φ = 102461760.

The previous prime is 384280181. The next prime is 384280201. The reversal of 384280200 is 2082483.

384280200 is a `hidden beast` number, since 38 + 428 + 0 + 200 = 666.

It is a super-2 number, since 2×384280200² = 295342544224080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (384280201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44647 + ... + 52553.

It is an arithmetic number, because the mean of its divisors is an integer number (9295195).

Almost surely, 2^384280200 is an apocalyptic number.

384280200 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 384280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669254040).

384280200 is an abundant number, since it is smaller than the sum of its proper divisors (954227880).

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

384280200 is a wasteful number, since it uses less digits than its factorization.

384280200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 384280200 is about 19603.0660867120. The cubic root of 384280200 is about 727.0249848406.

The spelling of 384280200 in words is "three hundred eighty-four million, two hundred eighty thousand, two hundred".