4506144 has 48 divisors (see below), whose sum is σ = 12009312. Its totient is φ = 1479168.

The previous prime is 4506133. The next prime is 4506149. The reversal of 4506144 is 4416054.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4506149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6687 + ... + 7329.

It is an arithmetic number, because the mean of its divisors is an integer number (250194).

Almost surely, 2^4506144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004656).

4506144 is an abundant number, since it is smaller than the sum of its proper divisors (7503168).

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

4506144 is a wasteful number, since it uses less digits than its factorization.

4506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4506144 is about 2122.7680042812. The cubic root of 4506144 is about 165.1714654638.

The spelling of 4506144 in words is "four million, five hundred six thousand, one hundred forty-four".