4131456 has 128 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1118208.

The previous prime is 4131451. The next prime is 4131473. The reversal of 4131456 is 6541314.

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 (24).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77926 + ... + 77978.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 2^4131456 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 4131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

4131456 is an abundant number, since it is smaller than the sum of its proper divisors (9087744).

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

4131456 is a wasteful number, since it uses less digits than its factorization.

4131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 4131456 is about 2032.5983371045. The cubic root of 4131456 is about 160.4603409353.

The spelling of 4131456 in words is "four million, one hundred thirty-one thousand, four hundred fifty-six".