4457856 has 128 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1271808.

The previous prime is 4457839. The next prime is 4457857. The reversal of 4457856 is 6587544.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (134400) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94825 + ... + 94871.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

Almost surely, 2^4457856 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 4457856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4457856 is an abundant number, since it is smaller than the sum of its proper divisors (9250944).

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

4457856 is a wasteful number, since it uses less digits than its factorization.

4457856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 4457856 is about 2111.3635404638. The cubic root of 4457856 is about 164.5793509193.

The spelling of 4457856 in words is "four million, four hundred fifty-seven thousand, eight hundred fifty-six".