4471440 has 80 divisors (see below), whose sum is σ = 14332416. Its totient is φ = 1152000.

The previous prime is 4471427. The next prime is 4471477. The reversal of 4471440 is 441744.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4471440.

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, 7140 + ... + 7740.

Almost surely, 2^4471440 is an apocalyptic number.

4471440 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 4471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166208).

4471440 is an abundant number, since it is smaller than the sum of its proper divisors (9860976).

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

4471440 is a wasteful number, since it uses less digits than its factorization.

4471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 4471440 is about 2114.5779720786. The cubic root of 4471440 is about 164.7463504004.

The spelling of 4471440 in words is "four million, four hundred seventy-one thousand, four hundred forty".