4411008 has 96 divisors (see below), whose sum is σ = 14532960. Its totient is φ = 1257984.

The previous prime is 4410977. The next prime is 4411013. The reversal of 4411008 is 8001144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7791 + ... + 8337.

It is an arithmetic number, because the mean of its divisors is an integer number (151385).

Almost surely, 2^4411008 is an apocalyptic number.

4411008 is a gapful number since it is divisible by the number (48) 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 4411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266480).

4411008 is an abundant number, since it is smaller than the sum of its proper divisors (10121952).

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

4411008 is a wasteful number, since it uses less digits than its factorization.

4411008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4411008 is about 2100.2399862873. The cubic root of 4411008 is about 164.0007931748. Note that the first 3 decimals are identical.

The spelling of 4411008 in words is "four million, four hundred eleven thousand, eight".