4268988600 has 192 divisors, whose sum is σ = 14006960640. Its totient is φ = 1073318400.

The previous prime is 4268988589. The next prime is 4268988629. The reversal of 4268988600 is 68898624.

It is a happy number.

It is a super-3 number, since 3×4268988600³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977622 + ... + 981978.

It is an arithmetic number, because the mean of its divisors is an integer number (72952920).

Almost surely, 2^4268988600 is an apocalyptic number.

4268988600 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 4268988600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003480320).

4268988600 is an abundant number, since it is smaller than the sum of its proper divisors (9737972040).

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

4268988600 is a wasteful number, since it uses less digits than its factorization.

4268988600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 4268988600 is about 65337.4976563994. The cubic root of 4268988600 is about 1622.2146968716.

The spelling of 4268988600 in words is "four billion, two hundred sixty-eight million, nine hundred eighty-eight thousand, six hundred".