4464080 has 40 divisors (see below), whose sum is σ = 10639944. Its totient is φ = 1740800.

The previous prime is 4464079. The next prime is 4464091. The reversal of 4464080 is 804644.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 4376464 = 296^2 + 2092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2600 + ... + 3960.

Almost surely, 2^4464080 is an apocalyptic number.

4464080 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 4464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319972).

4464080 is an abundant number, since it is smaller than the sum of its proper divisors (6175864).

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

4464080 is a wasteful number, since it uses less digits than its factorization.

4464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4464080 is about 2112.8369553754. The cubic root of 4464080 is about 164.6559098096.

The spelling of 4464080 in words is "four million, four hundred sixty-four thousand, eighty".