384777216 has 110 divisors (see below), whose sum is σ = 1149267680. Its totient is φ = 128231424.

The previous prime is 384777193. The next prime is 384777259. The reversal of 384777216 is 612777483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80625 + ... + 85263.

It is an arithmetic number, because the mean of its divisors is an integer number (10447888).

Almost surely, 2^384777216 is an apocalyptic number.

384777216 is a gapful number since it is divisible by the number (36) 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 384777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574633840).

384777216 is an abundant number, since it is smaller than the sum of its proper divisors (764490464).

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

384777216 is an equidigital number, since it uses as much as digits as its factorization.

384777216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4644 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 384777216 is about 19615.7389868442. The cubic root of 384777216 is about 727.3382869385.

The spelling of 384777216 in words is "three hundred eighty-four million, seven hundred seventy-seven thousand, two hundred sixteen".