4635144 has 80 divisors (see below), whose sum is σ = 13590720. Its totient is φ = 1473120.

The previous prime is 4635143. The next prime is 4635149. The reversal of 4635144 is 4415364.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4635143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14749 + ... + 15059.

It is an arithmetic number, because the mean of its divisors is an integer number (169884).

Almost surely, 2^4635144 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 4635144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795360).

4635144 is an abundant number, since it is smaller than the sum of its proper divisors (8955576).

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

4635144 is a wasteful number, since it uses less digits than its factorization.

4635144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4635144 is about 2152.9384570860. The cubic root of 4635144 is about 166.7328128557.

The spelling of 4635144 in words is "four million, six hundred thirty-five thousand, one hundred forty-four".