4200853600 has 72 divisors (see below), whose sum is σ = 10268952120. Its totient is φ = 1678110720.

The previous prime is 4200853499. The next prime is 4200853603. The reversal of 4200853600 is 63580024.

4200853600 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 (4200853603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684144 + ... + 690256.

It is an arithmetic number, because the mean of its divisors is an integer number (142624335).

Almost surely, 2^4200853600 is an apocalyptic number.

4200853600 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 4200853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134476060).

4200853600 is an abundant number, since it is smaller than the sum of its proper divisors (6068098520).

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

4200853600 is a wasteful number, since it uses less digits than its factorization.

4200853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4200853600 is about 64813.9923164744. The cubic root of 4200853600 is about 1613.5379420088.

The spelling of 4200853600 in words is "four billion, two hundred million, eight hundred fifty-three thousand, six hundred".