4255735200 has 144 divisors (see below), whose sum is σ = 13953169440. Its totient is φ = 1126609920.

The previous prime is 4255735193. The next prime is 4255735207. The reversal of 4255735200 is 25375524.

It is an interprime number because it is at equal distance from previous prime (4255735193) and next prime (4255735207).

It is a super-2 number, since 2×4255735200² = 36222564185038080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4255735207) 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, 327222 + ... + 339978.

It is an arithmetic number, because the mean of its divisors is an integer number (96897010).

Almost surely, 2^4255735200 is an apocalyptic number.

4255735200 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 4255735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976584720).

4255735200 is an abundant number, since it is smaller than the sum of its proper divisors (9697434240).

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

4255735200 is a wasteful number, since it uses less digits than its factorization.

4255735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12919 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 4255735200 is about 65235.9961984179. The cubic root of 4255735200 is about 1620.5341935915.

The spelling of 4255735200 in words is "four billion, two hundred fifty-five million, seven hundred thirty-five thousand, two hundred".