4111488 has 96 divisors (see below), whose sum is σ = 12252240. Its totient is φ = 1322496.

The previous prime is 4111487. The next prime is 4111489. The reversal of 4111488 is 8841114.

4111488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4111487) and next prime (4111489).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4111487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49495 + ... + 49577.

Almost surely, 2^4111488 is an apocalyptic number.

4111488 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 4111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126120).

4111488 is an abundant number, since it is smaller than the sum of its proper divisors (8140752).

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

4111488 is a wasteful number, since it uses less digits than its factorization.

4111488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 4111488 is about 2027.6804481969. The cubic root of 4111488 is about 160.2014130153.

The spelling of 4111488 in words is "four million, one hundred eleven thousand, four hundred eighty-eight".