4488400 has 90 divisors (see below), whose sum is σ = 12598710. Its totient is φ = 1532160.

The previous prime is 4488373. The next prime is 4488401. The reversal of 4488400 is 48844.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1073296 + 3415104 = 1036^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4488401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19486 + ... + 19714.

Almost surely, 2^4488400 is an apocalyptic number.

4488400 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 4488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299355).

4488400 is an abundant number, since it is smaller than the sum of its proper divisors (8110310).

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

4488400 is a wasteful number, since it uses less digits than its factorization.

4488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4488400 is about 2118.5844330590. The cubic root of 4488400 is about 164.9543797967.

The spelling of 4488400 in words is "four million, four hundred eighty-eight thousand, four hundred".