4414080 has 192 divisors, whose sum is σ = 16279200. Its totient is φ = 1013760.

The previous prime is 4414073. The next prime is 4414087. The reversal of 4414080 is 804144.

It is an interprime number because it is at equal distance from previous prime (4414073) and next prime (4414087).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4414087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232311 + ... + 232329.

Almost surely, 2^4414080 is an apocalyptic number.

4414080 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 4414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139600).

4414080 is an abundant number, since it is smaller than the sum of its proper divisors (11865120).

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

4414080 is a wasteful number, since it uses less digits than its factorization.

4414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4414080 is about 2100.9712039911. The cubic root of 4414080 is about 164.0388565475.

The spelling of 4414080 in words is "four million, four hundred fourteen thousand, eighty".