4493491200 has 660 divisors, whose sum is σ = 18243633672. Its totient is φ = 1083801600.

The previous prime is 4493491157. The next prime is 4493491207. The reversal of 4493491200 is 21943944.

4493491200 is a `hidden beast` number, since 4 + 493 + 49 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4493491207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22809502 + ... + 22809698.

Almost surely, 2^4493491200 is an apocalyptic number.

4493491200 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 4493491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9121816836).

4493491200 is an abundant number, since it is smaller than the sum of its proper divisors (13750142472).

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

4493491200 is a wasteful number, since it uses less digits than its factorization.

4493491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4493491200 is about 67033.5080388905. The cubic root of 4493491200 is about 1650.1672557725.

The spelling of 4493491200 in words is "four billion, four hundred ninety-three million, four hundred ninety-one thousand, two hundred".