384147456 has 336 divisors, whose sum is σ = 1344716640. Its totient is φ = 96337920.

The previous prime is 384147397. The next prime is 384147481. The reversal of 384147456 is 654741483.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13246450 + ... + 13246478.

Almost surely, 2^384147456 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 384147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672358320).

384147456 is an abundant number, since it is smaller than the sum of its proper divisors (960569184).

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

384147456 is a wasteful number, since it uses less digits than its factorization.

384147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 384147456 is about 19599.6799973877. The cubic root of 384147456 is about 726.9412618011.

It can be divided in two parts, 384 and 147456, that multiplied together give a cube (56623104 = 384³).

The spelling of 384147456 in words is "three hundred eighty-four million, one hundred forty-seven thousand, four hundred fifty-six".