4489632 has 144 divisors (see below), whose sum is σ = 15567552. Its totient is φ = 1198080.

The previous prime is 4489621. The next prime is 4489651. The reversal of 4489632 is 2369844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 4⁹ + 4¹¹ + 8⁵ + 9 + 6² + 3⁵ + 2⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34207 + ... + 34337.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

Almost surely, 2^4489632 is an apocalyptic number.

4489632 is a gapful number since it is divisible by the number (42) 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 4489632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776).

4489632 is an abundant number, since it is smaller than the sum of its proper divisors (11077920).

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

4489632 is a wasteful number, since it uses less digits than its factorization.

4489632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4489632 is about 2118.8751732936. The cubic root of 4489632 is about 164.9694709357.

It can be divided in two parts, 44 and 89632, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 4489632 in words is "four million, four hundred eighty-nine thousand, six hundred thirty-two".