4456560 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1148160.

The previous prime is 4456559. The next prime is 4456561. The reversal of 4456560 is 656544.

It is an interprime number because it is at equal distance from previous prime (4456559) and next prime (4456561).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456561) 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, 7141 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^4456560 is an apocalyptic number.

4456560 is a gapful number since it is divisible by the number (40) 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 4456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4456560 is an abundant number, since it is smaller than the sum of its proper divisors (9828240).

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

4456560 is a wasteful number, since it uses less digits than its factorization.

4456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4456560 is about 2111.0566074836. The cubic root of 4456560 is about 164.5634003882.

The spelling of 4456560 in words is "four million, four hundred fifty-six thousand, five hundred sixty".