4263305200 has 240 divisors, whose sum is σ = 12910673664. Its totient is φ = 1314201600.

The previous prime is 4263305197. The next prime is 4263305257. The reversal of 4263305200 is 25033624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986887 + ... + 2988313.

Almost surely, 2^4263305200 is an apocalyptic number.

4263305200 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 4263305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455336832).

4263305200 is an abundant number, since it is smaller than the sum of its proper divisors (8647368464).

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

4263305200 is a wasteful number, since it uses less digits than its factorization.

4263305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 4263305200 is about 65293.9905351174. The cubic root of 4263305200 is about 1621.4944802611.

Adding to 4263305200 its reverse (25033624), we get a palindrome (4288338824).

The spelling of 4263305200 in words is "four billion, two hundred sixty-three million, three hundred five thousand, two hundred".