4284781200 has 720 divisors, whose sum is σ = 18512088960. Its totient is φ = 921922560.

The previous prime is 4284781199. The next prime is 4284781217. The reversal of 4284781200 is 21874824.

4284781200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27291522 + ... + 27291678.

Almost surely, 2^4284781200 is an apocalyptic number.

4284781200 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 4284781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256044480).

4284781200 is an abundant number, since it is smaller than the sum of its proper divisors (14227307760).

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

4284781200 is a wasteful number, since it uses less digits than its factorization.

4284781200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4284781200 is about 65458.2401229975. The cubic root of 4284781200 is about 1624.2126299928.

The spelling of 4284781200 in words is "four billion, two hundred eighty-four million, seven hundred eighty-one thousand, two hundred".