4468825200 has 480 divisors, whose sum is σ = 17004625920. Its totient is φ = 982195200.

The previous prime is 4468825199. The next prime is 4468825201. The reversal of 4468825200 is 25288644.

It is an interprime number because it is at equal distance from previous prime (4468825199) and next prime (4468825201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468825201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35187537 + ... + 35187663.

It is an arithmetic number, because the mean of its divisors is an integer number (35426304).

Almost surely, 2^4468825200 is an apocalyptic number.

4468825200 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 4468825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502312960).

4468825200 is an abundant number, since it is smaller than the sum of its proper divisors (12535800720).

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

4468825200 is a wasteful number, since it uses less digits than its factorization.

4468825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 4468825200 is about 66849.2722473476. The cubic root of 4468825200 is about 1647.1423078832.

The spelling of 4468825200 in words is "four billion, four hundred sixty-eight million, eight hundred twenty-five thousand, two hundred".