4509081600 has 336 divisors, whose sum is σ = 15358079520. Its totient is φ = 1166540800.

The previous prime is 4509081557. The next prime is 4509081623. The reversal of 4509081600 is 61809054.

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, 25190311 + ... + 25190489.

It is an arithmetic number, because the mean of its divisors is an integer number (45708570).

Almost surely, 2^4509081600 is an apocalyptic number.

4509081600 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 4509081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679039760).

4509081600 is an abundant number, since it is smaller than the sum of its proper divisors (10848997920).

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

4509081600 is a wasteful number, since it uses less digits than its factorization.

4509081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4509081600 is about 67149.6954572394. The cubic root of 4509081600 is about 1652.0734997306.

The spelling of 4509081600 in words is "four billion, five hundred nine million, eighty-one thousand, six hundred".