4468800 has 252 divisors, whose sum is σ = 17952720. Its totient is φ = 967680.

The previous prime is 4468787. The next prime is 4468817. The reversal of 4468800 is 88644.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235191 + ... + 235209.

Almost surely, 2^4468800 is an apocalyptic number.

4468800 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 4468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976360).

4468800 is an abundant number, since it is smaller than the sum of its proper divisors (13483920).

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

4468800 is a wasteful number, since it uses less digits than its factorization.

4468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4468800 is about 2113.9536418758. The cubic root of 4468800 is about 164.7139211763.

The spelling of 4468800 in words is "four million, four hundred sixty-eight thousand, eight hundred".