384787456 has 33 divisors (see below), whose sum is σ = 770456001. Its totient is φ = 192079872.

The previous prime is 384787441. The next prime is 384787471. The reversal of 384787456 is 654787483.

The square root of 384787456 is 19616.

It is a perfect power (a square), and thus also a powerful number.

384787456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (384787441) and next prime (384787471).

It can be written as a sum of positive squares in only one way, i.e., 1254400 + 383533056 = 1120^2 + 19584^2 .

It is a super-2 number, since 2×384787456² = 296122772589903872, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 627406 + ... + 628018.

Almost surely, 2^384787456 is an apocalyptic number.

384787456 is the 19616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384787456

384787456 is an abundant number, since it is smaller than the sum of its proper divisors (385668545).

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

384787456 is an frugal number, since it uses more digits than its factorization.

384787456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 615 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The cubic root of 384787456 is about 727.3447390513.

The spelling of 384787456 in words is "three hundred eighty-four million, seven hundred eighty-seven thousand, four hundred fifty-six".