4878400 has 42 divisors (see below), whose sum is σ = 12007850. Its totient is φ = 1950720.

The previous prime is 4878397. The next prime is 4878431. The reversal of 4878400 is 48784.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 4875264 = 56^2 + 2208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76 + ... + 3124.

Almost surely, 2^4878400 is an apocalyptic number.

4878400 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 4878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003925).

4878400 is an abundant number, since it is smaller than the sum of its proper divisors (7129450).

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

4878400 is a wasteful number, since it uses less digits than its factorization.

4878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3056 counting only the distinct ones).

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

The square root of 4878400 is about 2208.7100307646. The cubic root of 4878400 is about 169.5999822001.

Multiplying 4878400 by its reverse (48784), we get a square (237987865600 = 487840²).

4878400 divided by its reverse (48784) gives a square (100 = 10²).

The spelling of 4878400 in words is "four million, eight hundred seventy-eight thousand, four hundred".