4284313600 has 312 divisors, whose sum is σ = 12513226880. Its totient is φ = 1424424960.

The previous prime is 4284313577. The next prime is 4284313603. The reversal of 4284313600 is 63134824.

4284313600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284313603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30822331 + ... + 30822469.

Almost surely, 2^4284313600 is an apocalyptic number.

4284313600 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 4284313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256613440).

4284313600 is an abundant number, since it is smaller than the sum of its proper divisors (8228913280).

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

4284313600 is a wasteful number, since it uses less digits than its factorization.

4284313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 4284313600 is about 65454.6682827130. The cubic root of 4284313600 is about 1624.1535441711.

The spelling of 4284313600 in words is "four billion, two hundred eighty-four million, three hundred thirteen thousand, six hundred".