4278384 has 120 divisors (see below), whose sum is σ = 13598832. Its totient is φ = 1244160.

The previous prime is 4278383. The next prime is 4278413. The reversal of 4278384 is 4838724.

4278384 is a `hidden beast` number, since 4 + 278 + 384 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4² + 2¹³ + 7⁵ + 8 + 3¹⁰ + 8 + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58572 + ... + 58644.

Almost surely, 2^4278384 is an apocalyptic number.

4278384 is a gapful number since it is divisible by the number (44) 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 4278384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799416).

4278384 is an abundant number, since it is smaller than the sum of its proper divisors (9320448).

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

4278384 is a wasteful number, since it uses less digits than its factorization.

4278384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4278384 is about 2068.4254881431. The cubic root of 4278384 is about 162.3403908160.

The spelling of 4278384 in words is "four million, two hundred seventy-eight thousand, three hundred eighty-four".