4478800 has 30 divisors (see below), whose sum is σ = 10761278. Its totient is φ = 1791360.

The previous prime is 4478783. The next prime is 4478801. The reversal of 4478800 is 88744.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 4426816 = 228^2 + 2104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4478801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5199 + ... + 5998.

Almost surely, 2^4478800 is an apocalyptic number.

4478800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4478800 is an abundant number, since it is smaller than the sum of its proper divisors (6282478).

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

4478800 is a wasteful number, since it uses less digits than its factorization.

4478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 4478800 is about 2116.3175565118. The cubic root of 4478800 is about 164.8366918019.

The spelling of 4478800 in words is "four million, four hundred seventy-eight thousand, eight hundred".