4198875600 has 240 divisors, whose sum is σ = 14228089344. Its totient is φ = 1056768000.

The previous prime is 4198875589. The next prime is 4198875601. The reversal of 4198875600 is 65788914.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4198875600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198875601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523824 + ... + 1526576.

Almost surely, 2^4198875600 is an apocalyptic number.

4198875600 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 4198875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114044672).

4198875600 is an abundant number, since it is smaller than the sum of its proper divisors (10029213744).

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

4198875600 is a wasteful number, since it uses less digits than its factorization.

4198875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 4198875600 is about 64798.7314690650. The cubic root of 4198875600 is about 1613.2846538750.

The spelling of 4198875600 in words is "four billion, one hundred ninety-eight million, eight hundred seventy-five thousand, six hundred".