384426784 has 192 divisors, whose sum is σ = 975421440. Its totient is φ = 145474560.

The previous prime is 384426767. The next prime is 384426787. The reversal of 384426784 is 487624483.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (384426787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4631607 + ... + 4631689.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^384426784 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 384426784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

384426784 is an abundant number, since it is smaller than the sum of its proper divisors (590994656).

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

384426784 is a wasteful number, since it uses less digits than its factorization.

384426784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 384426784 is about 19606.8045331206. The cubic root of 384426784 is about 727.1174145164.

It can be divided in two parts, 3844 and 26784, that added together give a triangular number (30628 = T₂₄₇).

The spelling of 384426784 in words is "three hundred eighty-four million, four hundred twenty-six thousand, seven hundred eighty-four".