4488840 has 96 divisors (see below), whose sum is σ = 15027480. Its totient is φ = 1161216.

The previous prime is 4488839. The next prime is 4488853. The reversal of 4488840 is 488844.

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 544644 = 1986^2 + 738^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4488795 and 4488804.

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, 13152 + ... + 13488.

Almost surely, 2^4488840 is an apocalyptic number.

4488840 is a gapful number since it is divisible by the number (40) 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 4488840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513740).

4488840 is an abundant number, since it is smaller than the sum of its proper divisors (10538640).

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

4488840 is a wasteful number, since it uses less digits than its factorization.

4488840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4488840 is about 2118.6882734371. The cubic root of 4488840 is about 164.9597698062.

The spelling of 4488840 in words is "four million, four hundred eighty-eight thousand, eight hundred forty".