4415144 has 32 divisors (see below), whose sum is σ = 9004800. Its totient is φ = 2021760.

The previous prime is 4415143. The next prime is 4415153.

4415144 = T₁₆₁ + T₁₆₂ + ... + T₃₁₂.

It is a happy number.

4415144 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4415143) 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 7 ways as a sum of consecutive naturals, for example, 4244 + ... + 5180.

It is an arithmetic number, because the mean of its divisors is an integer number (281400).

Almost surely, 2^4415144 is an apocalyptic number.

It is an amenable number.

4415144 is an abundant number, since it is smaller than the sum of its proper divisors (4589656).

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

4415144 is a wasteful number, since it uses less digits than its factorization.

4415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 4415144 is about 2101.2244049601. The cubic root of 4415144 is about 164.0520358375.

The spelling of 4415144 in words is "four million, four hundred fifteen thousand, one hundred forty-four".