4253511200 has 144 divisors (see below), whose sum is σ = 10827432000. Its totient is φ = 1629680640.

The previous prime is 4253511193. The next prime is 4253511211. The reversal of 4253511200 is 21153524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3224141 + ... + 3225459.

It is an arithmetic number, because the mean of its divisors is an integer number (75190500).

Almost surely, 2^4253511200 is an apocalyptic number.

4253511200 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 4253511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413716000).

4253511200 is an abundant number, since it is smaller than the sum of its proper divisors (6573920800).

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

4253511200 is a wasteful number, since it uses less digits than its factorization.

4253511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 4253511200 is about 65218.9481669246. The cubic root of 4253511200 is about 1620.2518533396.

Adding to 4253511200 its reverse (21153524), we get a palindrome (4274664724).

It can be divided in two parts, 42535 and 11200, that added together give a palindrome (53735).

The spelling of 4253511200 in words is "four billion, two hundred fifty-three million, five hundred eleven thousand, two hundred".