4656384 has 108 divisors (see below), whose sum is σ = 14030016. Its totient is φ = 1483776.

The previous prime is 4656367. The next prime is 4656397. The reversal of 4656384 is 4836564.

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 4³ + 6⁴ + 5⁵ + 6⁷ + 3¹¹ + 8³ + 4¹¹ .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 99049 + ... + 99095.

Almost surely, 2^4656384 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 4656384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015008).

4656384 is an abundant number, since it is smaller than the sum of its proper divisors (9373632).

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

4656384 is a wasteful number, since it uses less digits than its factorization.

4656384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4656384 is about 2157.8656121269. The cubic root of 4656384 is about 166.9871026410.

The spelling of 4656384 in words is "four million, six hundred fifty-six thousand, three hundred eighty-four".