4500891600 has 120 divisors (see below), whose sum is σ = 14443599360. Its totient is φ = 1198095360.

The previous prime is 4500891541. The next prime is 4500891601. The reversal of 4500891600 is 61980054.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4500891601) 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 23 ways as a sum of consecutive naturals, for example, 737361 + ... + 743439.

It is an arithmetic number, because the mean of its divisors is an integer number (120363328).

Almost surely, 2^4500891600 is an apocalyptic number.

4500891600 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 4500891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221799680).

4500891600 is an abundant number, since it is smaller than the sum of its proper divisors (9942707760).

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

4500891600 is a wasteful number, since it uses less digits than its factorization.

4500891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6706 counting only the distinct ones).

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

The square root of 4500891600 is about 67088.6845898770. The cubic root of 4500891600 is about 1651.0726542222.

The spelling of 4500891600 in words is "four billion, five hundred million, eight hundred ninety-one thousand, six hundred".