384271600 has 60 divisors (see below), whose sum is σ = 926480880. Its totient is φ = 153164800.

The previous prime is 384271583. The next prime is 384271627. The reversal of 384271600 is 6172483.

384271600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122856 + ... + 125944.

It is an arithmetic number, because the mean of its divisors is an integer number (15441348).

Almost surely, 2^384271600 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 384271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463240440).

384271600 is an abundant number, since it is smaller than the sum of its proper divisors (542209280).

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

384271600 is a wasteful number, since it uses less digits than its factorization.

384271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 384271600 is about 19602.8467320438. The cubic root of 384271600 is about 727.0195613142.

The spelling of 384271600 in words is "three hundred eighty-four million, two hundred seventy-one thousand, six hundred".