4456080 has 80 divisors (see below), whose sum is σ = 15356160. Its totient is φ = 1187712.

The previous prime is 4456079. The next prime is 4456121. The reversal of 4456080 is 806544.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (191952).

Almost surely, 2^4456080 is an apocalyptic number.

4456080 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 4456080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678080).

4456080 is an abundant number, since it is smaller than the sum of its proper divisors (10900080).

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

4456080 is a wasteful number, since it uses less digits than its factorization.

4456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4456080 is about 2110.9429172765. The cubic root of 4456080 is about 164.5574919994.

The spelling of 4456080 in words is "four million, four hundred fifty-six thousand, eighty".