4308268800 has 216 divisors, whose sum is σ = 15511507200. Its totient is φ = 1044377600.

The previous prime is 4308268787. The next prime is 4308268801. The reversal of 4308268800 is 88628034.

It is a super-2 number, since 2×4308268800² = 37122360106106880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4308268801) 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, 201001 + ... + 221399.

Almost surely, 2^4308268800 is an apocalyptic number.

4308268800 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 4308268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755753600).

4308268800 is an abundant number, since it is smaller than the sum of its proper divisors (11203238400).

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

4308268800 is a wasteful number, since it uses less digits than its factorization.

4308268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20439 (or 20420 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4308268800 is about 65637.4039706020. The cubic root of 4308268800 is about 1627.1750031208.

The spelling of 4308268800 in words is "four billion, three hundred eight million, two hundred sixty-eight thousand, eight hundred".