4272844800 has 312 divisors, whose sum is σ = 16153438336. Its totient is φ = 976158720.

The previous prime is 4272844747. The next prime is 4272844813. The reversal of 4272844800 is 84482724.

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, 2149407 + ... + 2151393.

Almost surely, 2^4272844800 is an apocalyptic number.

4272844800 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 4272844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8076719168).

4272844800 is an abundant number, since it is smaller than the sum of its proper divisors (11880593536).

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

4272844800 is a wasteful number, since it uses less digits than its factorization.

4272844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 4272844800 is about 65367.0008490523. Note that the first 3 decimals coincide. The cubic root of 4272844800 is about 1622.7030015793.

The spelling of 4272844800 in words is "four billion, two hundred seventy-two million, eight hundred forty-four thousand, eight hundred".