4284878400 has 672 divisors, whose sum is σ = 17416028160. Its totient is φ = 1016064000.

The previous prime is 4284878371. The next prime is 4284878417. The reversal of 4284878400 is 48784824.

It is a happy number.

4284878400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33739137 + ... + 33739263.

Almost surely, 2^4284878400 is an apocalyptic number.

4284878400 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 4284878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708014080).

4284878400 is an abundant number, since it is smaller than the sum of its proper divisors (13131149760).

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

4284878400 is a wasteful number, since it uses less digits than its factorization.

4284878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 4284878400 is about 65458.9825768779. The cubic root of 4284878400 is about 1624.2249116214.

The spelling of 4284878400 in words is "four billion, two hundred eighty-four million, eight hundred seventy-eight thousand, four hundred".