4859424 has 72 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1580928.

The previous prime is 4859419. The next prime is 4859429. The reversal of 4859424 is 4249584.

4859424 is a `hidden beast` number, since 48 + 594 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (4859419) and next prime (4859429).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4859424² = 47228003223552, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4859429) 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 11 ways as a sum of consecutive naturals, for example, 13357 + ... + 13715.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^4859424 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 4859424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4859424 is an abundant number, since it is smaller than the sum of its proper divisors (9292896).

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

4859424 is a wasteful number, since it uses less digits than its factorization.

4859424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4859424 is about 2204.4101251809. The cubic root of 4859424 is about 169.3797931224.

The spelling of 4859424 in words is "four million, eight hundred fifty-nine thousand, four hundred twenty-four".