6233260400 has 120 divisors (see below), whose sum is σ = 15305270400. Its totient is φ = 2438956800.

The previous prime is 6233260357. The next prime is 6233260421. The reversal of 6233260400 is 40623326.

It is a Cunningham number, because it is equal to 78951²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 6233260400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3946811 + ... + 3948389.

It is an arithmetic number, because the mean of its divisors is an integer number (127543920).

Almost surely, 2^6233260400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6233260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652635200).

6233260400 is an abundant number, since it is smaller than the sum of its proper divisors (9072010000).

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

6233260400 is a wasteful number, since it uses less digits than its factorization.

6233260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 6233260400 is about 78950.9999936670. Note that the first 5 decimals coincide. The cubic root of 6233260400 is about 1840.3697665815.

Adding to 6233260400 its reverse (40623326), we get a palindrome (6273883726).

The spelling of 6233260400 in words is "six billion, two hundred thirty-three million, two hundred sixty thousand, four hundred".