4388800 has 84 divisors (see below), whose sum is σ = 11685016. Its totient is φ = 1612800.

The previous prime is 4388779. The next prime is 4388803. The reversal of 4388800 is 88834.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4388803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20695 + ... + 20905.

Almost surely, 2^4388800 is an apocalyptic number.

4388800 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 4388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842508).

4388800 is an abundant number, since it is smaller than the sum of its proper divisors (7296216).

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

4388800 is a wasteful number, since it uses less digits than its factorization.

4388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 4388800 is about 2094.9463000278. The cubic root of 4388800 is about 163.7250996460.

The spelling of 4388800 in words is "four million, three hundred eighty-eight thousand, eight hundred".