4512499200 has 480 divisors, whose sum is σ = 18084021120. Its totient is φ = 1093017600.

The previous prime is 4512499171. The next prime is 4512499207. The reversal of 4512499200 is 29942154.

It is a tau number, because it is divible by the number of its divisors (480).

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 (4512499207) 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 47 ways as a sum of consecutive naturals, for example, 3801007 + ... + 3802193.

It is an arithmetic number, because the mean of its divisors is an integer number (37675044).

Almost surely, 2^4512499200 is an apocalyptic number.

4512499200 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 4512499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9042010560).

4512499200 is an abundant number, since it is smaller than the sum of its proper divisors (13571521920).

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

4512499200 is a wasteful number, since it uses less digits than its factorization.

4512499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4512499200 is about 67175.1382581383. The cubic root of 4512499200 is about 1652.4907835609.

The spelling of 4512499200 in words is "four billion, five hundred twelve million, four hundred ninety-nine thousand, two hundred".